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Simplifying -132 = -4a + -8(-4a + 6) Reorder the terms: -132 = -4a + -8(6 + -4a) -132 = -4a + (6 * -8 + -4a * -8) -132 = -4a + (-48 + 32a) Reorder the terms: -132 = -48 + -4a + 32a Combine like terms: -4a + 32a = 28a -132 = -48 + 28a Solving -132 = -48 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -132 + -28a = -48 + 28a + -28a Combine like terms: 28a + -28a = 0 -132 + -28a = -48 + 0 -132 + -28a = -48 Add '132' to each side of the equation. -132 + 132 + -28a = -48 + 132 Combine like terms: -132 + 132 = 0 0 + -28a = -48 + 132 -28a = -48 + 132 Combine like terms: -48 + 132 = 84 -28a = 84 Divide each side by '-28'. a = -3 Simplifying a = -3
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