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Simplifying -1(a + 3) = -8a + 32 Reorder the terms: -1(3 + a) = -8a + 32 (3 * -1 + a * -1) = -8a + 32 (-3 + -1a) = -8a + 32 Reorder the terms: -3 + -1a = 32 + -8a Solving -3 + -1a = 32 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -3 + -1a + 8a = 32 + -8a + 8a Combine like terms: -1a + 8a = 7a -3 + 7a = 32 + -8a + 8a Combine like terms: -8a + 8a = 0 -3 + 7a = 32 + 0 -3 + 7a = 32 Add '3' to each side of the equation. -3 + 3 + 7a = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 7a = 32 + 3 7a = 32 + 3 Combine like terms: 32 + 3 = 35 7a = 35 Divide each side by '7'. a = 5 Simplifying a = 5
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