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Simplifying 32 + 4(a + -1) + 4a = -5 Reorder the terms: 32 + 4(-1 + a) + 4a = -5 32 + (-1 * 4 + a * 4) + 4a = -5 32 + (-4 + 4a) + 4a = -5 Combine like terms: 32 + -4 = 28 28 + 4a + 4a = -5 Combine like terms: 4a + 4a = 8a 28 + 8a = -5 Solving 28 + 8a = -5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 8a = -5 + -28 Combine like terms: 28 + -28 = 0 0 + 8a = -5 + -28 8a = -5 + -28 Combine like terms: -5 + -28 = -33 8a = -33 Divide each side by '8'. a = -4.125 Simplifying a = -4.125
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