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Simplifying 3(1 + -5a) = -8a + 31 (1 * 3 + -5a * 3) = -8a + 31 (3 + -15a) = -8a + 31 Reorder the terms: 3 + -15a = 31 + -8a Solving 3 + -15a = 31 + -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 + -15a + 8a = 31 + -8a + 8a Combine like terms: -15a + 8a = -7a 3 + -7a = 31 + -8a + 8a Combine like terms: -8a + 8a = 0 3 + -7a = 31 + 0 3 + -7a = 31 Add '-3' to each side of the equation. 3 + -3 + -7a = 31 + -3 Combine like terms: 3 + -3 = 0 0 + -7a = 31 + -3 -7a = 31 + -3 Combine like terms: 31 + -3 = 28 -7a = 28 Divide each side by '-7'. a = -4 Simplifying a = -4
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