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Simplifying 8(a + 2) + 4(a + -1) = -132 Reorder the terms: 8(2 + a) + 4(a + -1) = -132 (2 * 8 + a * 8) + 4(a + -1) = -132 (16 + 8a) + 4(a + -1) = -132 Reorder the terms: 16 + 8a + 4(-1 + a) = -132 16 + 8a + (-1 * 4 + a * 4) = -132 16 + 8a + (-4 + 4a) = -132 Reorder the terms: 16 + -4 + 8a + 4a = -132 Combine like terms: 16 + -4 = 12 12 + 8a + 4a = -132 Combine like terms: 8a + 4a = 12a 12 + 12a = -132 Solving 12 + 12a = -132 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12a = -132 + -12 Combine like terms: 12 + -12 = 0 0 + 12a = -132 + -12 12a = -132 + -12 Combine like terms: -132 + -12 = -144 12a = -144 Divide each side by '12'. a = -12 Simplifying a = -12
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