-8(a-11)=2a-3(8a-6)

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Solution for -8(a-11)=2a-3(8a-6) equation:


Simplifying
-8(a + -11) = 2a + -3(8a + -6)

Reorder the terms:
-8(-11 + a) = 2a + -3(8a + -6)
(-11 * -8 + a * -8) = 2a + -3(8a + -6)
(88 + -8a) = 2a + -3(8a + -6)

Reorder the terms:
88 + -8a = 2a + -3(-6 + 8a)
88 + -8a = 2a + (-6 * -3 + 8a * -3)
88 + -8a = 2a + (18 + -24a)

Reorder the terms:
88 + -8a = 18 + 2a + -24a

Combine like terms: 2a + -24a = -22a
88 + -8a = 18 + -22a

Solving
88 + -8a = 18 + -22a

Solving for variable 'a'.

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

Add '22a' to each side of the equation.
88 + -8a + 22a = 18 + -22a + 22a

Combine like terms: -8a + 22a = 14a
88 + 14a = 18 + -22a + 22a

Combine like terms: -22a + 22a = 0
88 + 14a = 18 + 0
88 + 14a = 18

Add '-88' to each side of the equation.
88 + -88 + 14a = 18 + -88

Combine like terms: 88 + -88 = 0
0 + 14a = 18 + -88
14a = 18 + -88

Combine like terms: 18 + -88 = -70
14a = -70

Divide each side by '14'.
a = -5

Simplifying
a = -5

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