Tentukan nilai variabel dari persamaan persamaan berikut :

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a. 5 ( a + 1 ) = 10
b. 0,5 ( 4t – 10 ) = -2( t + 5 )
c. 3 ( 2z – 1 ) + 1 = -2 ( 2z + 9 )
d. – ( 4n – 4 ) + 5n = 2n + 8
e. 20 ( 3x + 1 ) = -50 ( 5 – x )
f. 2c – 5 ( c – 1 ) = 7 – 2c
g. frac{1}{3} (6s :  -  9) =  frac{1}{4} ( - 2s + 4)
h. frac{2}{3} p - 4 =  frac{1}{4} p + 8 \ i. :  frac{ - 2 + 3w}{5}  =  frac{10 + 4w}{7}  \ j. : 2(2b - 4) - 3b = 8 - 4(2 - 0.5b) \ k. frac{3x - 4}{3}  + x =  frac{3 - x}{3}  + 2 \ l. frac{1}{5} x -  frac{2}{3} (1 - 2x) =  frac{1}{4} (3x + 2)
tolong jawab ya kak dengan caranya​

Tentukan nilai variabel dari persamaan persamaan berikut :

Jawaban:

a) a = 1

b) t = -5/4

c) z = – 1,6

d) n = -4

e) c = -6

Penjelasan dengan langkah-langkah:

a) 5 ( a + 1 ) = 10

5a + 5 = 10

5a = 10 – 5

5a = 5

a = 5/5

a = 1

b) 0,5 ( 4t – 10 ) = -2( t + 5 )

0,5 = 1/2

1/2 ( 4t – 10 ) = -2( t + 5 )

4/2 t – 10/2 = -2t + ( -10)

2t – 5 = -2t – 10

2t + 2t = -10 + 5

4t = -5

t = -5/4

c) 3 ( 2z – 1 ) + 1 = -2 ( 2z + 9 )

(6z -3) + 1 = -4z + (-18)

6z – 3 + 1 = -4z – 18

6z – 2 = -4z – 18

6z+ 4z = -18 + 2

10z = – 16

z = – 16 / 10

z = – 1,6

d) – ( 4n – 4 ) + 5n = 2n + 8

(-4n + 4) + 5n = 2n + 8

-4n + 4 + 5n = 2n + 8

-4n + 5n – 2n = 8 – 4

-6n + 5n = 4

-n = 4

n = -4

e) 20 ( 3x + 1 ) = -50 ( 5 – x )

(60x + 20) = -250 + 50x

60x + 20 = -250 + 50x

60x – 50x = -250 – 20

10x = -270

x = -27

f) 2c – 5 ( c – 1 ) = 7 – 2c

2c – (5c – 1) = 7 – 2c

2c – 5c + 1 = 7 – 2c

2c + 2c – 5c = 7 – 1

-c = 6

c = -6