114=-8(1+4a)-6

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Solution for 114=-8(1+4a)-6 equation:


Simplifying
114 = -8(1 + 4a) + -6
114 = (1 * -8 + 4a * -8) + -6
114 = (-8 + -32a) + -6

Reorder the terms:
114 = -8 + -6 + -32a

Combine like terms: -8 + -6 = -14
114 = -14 + -32a

Solving
114 = -14 + -32a

Solving for variable 'a'.

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

Add '32a' to each side of the equation.
114 + 32a = -14 + -32a + 32a

Combine like terms: -32a + 32a = 0
114 + 32a = -14 + 0
114 + 32a = -14

Add '-114' to each side of the equation.
114 + -114 + 32a = -14 + -114

Combine like terms: 114 + -114 = 0
0 + 32a = -14 + -114
32a = -14 + -114

Combine like terms: -14 + -114 = -128
32a = -128

Divide each side by '32'.
a = -4

Simplifying
a = -4

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