-8(a+7)=4-5(3a-2)

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Solution for -8(a+7)=4-5(3a-2) equation:


Simplifying
-8(a + 7) = 4 + -5(3a + -2)

Reorder the terms:
-8(7 + a) = 4 + -5(3a + -2)
(7 * -8 + a * -8) = 4 + -5(3a + -2)
(-56 + -8a) = 4 + -5(3a + -2)

Reorder the terms:
-56 + -8a = 4 + -5(-2 + 3a)
-56 + -8a = 4 + (-2 * -5 + 3a * -5)
-56 + -8a = 4 + (10 + -15a)

Combine like terms: 4 + 10 = 14
-56 + -8a = 14 + -15a

Solving
-56 + -8a = 14 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
-56 + -8a + 15a = 14 + -15a + 15a

Combine like terms: -8a + 15a = 7a
-56 + 7a = 14 + -15a + 15a

Combine like terms: -15a + 15a = 0
-56 + 7a = 14 + 0
-56 + 7a = 14

Add '56' to each side of the equation.
-56 + 56 + 7a = 14 + 56

Combine like terms: -56 + 56 = 0
0 + 7a = 14 + 56
7a = 14 + 56

Combine like terms: 14 + 56 = 70
7a = 70

Divide each side by '7'.
a = 10

Simplifying
a = 10

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