10(1-a)=-8-4(a-9)

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Solution for 10(1-a)=-8-4(a-9) equation:


Simplifying
10(1 + -1a) = -8 + -4(a + -9)
(1 * 10 + -1a * 10) = -8 + -4(a + -9)
(10 + -10a) = -8 + -4(a + -9)

Reorder the terms:
10 + -10a = -8 + -4(-9 + a)
10 + -10a = -8 + (-9 * -4 + a * -4)
10 + -10a = -8 + (36 + -4a)

Combine like terms: -8 + 36 = 28
10 + -10a = 28 + -4a

Solving
10 + -10a = 28 + -4a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '4a' to each side of the equation.
10 + -10a + 4a = 28 + -4a + 4a

Combine like terms: -10a + 4a = -6a
10 + -6a = 28 + -4a + 4a

Combine like terms: -4a + 4a = 0
10 + -6a = 28 + 0
10 + -6a = 28

Add '-10' to each side of the equation.
10 + -10 + -6a = 28 + -10

Combine like terms: 10 + -10 = 0
0 + -6a = 28 + -10
-6a = 28 + -10

Combine like terms: 28 + -10 = 18
-6a = 18

Divide each side by '-6'.
a = -3

Simplifying
a = -3

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