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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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