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Simplifying 5(1 + -1a) = 5(3a + 3) (1 * 5 + -1a * 5) = 5(3a + 3) (5 + -5a) = 5(3a + 3) Reorder the terms: 5 + -5a = 5(3 + 3a) 5 + -5a = (3 * 5 + 3a * 5) 5 + -5a = (15 + 15a) Solving 5 + -5a = 15 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 5 + -5a + -15a = 15 + 15a + -15a Combine like terms: -5a + -15a = -20a 5 + -20a = 15 + 15a + -15a Combine like terms: 15a + -15a = 0 5 + -20a = 15 + 0 5 + -20a = 15 Add '-5' to each side of the equation. 5 + -5 + -20a = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -20a = 15 + -5 -20a = 15 + -5 Combine like terms: 15 + -5 = 10 -20a = 10 Divide each side by '-20'. a = -0.5 Simplifying a = -0.5
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