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Simplifying 5(a + 3) = 3(1 + -2a) Reorder the terms: 5(3 + a) = 3(1 + -2a) (3 * 5 + a * 5) = 3(1 + -2a) (15 + 5a) = 3(1 + -2a) 15 + 5a = (1 * 3 + -2a * 3) 15 + 5a = (3 + -6a) Solving 15 + 5a = 3 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 15 + 5a + 6a = 3 + -6a + 6a Combine like terms: 5a + 6a = 11a 15 + 11a = 3 + -6a + 6a Combine like terms: -6a + 6a = 0 15 + 11a = 3 + 0 15 + 11a = 3 Add '-15' to each side of the equation. 15 + -15 + 11a = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 11a = 3 + -15 11a = 3 + -15 Combine like terms: 3 + -15 = -12 11a = -12 Divide each side by '11'. a = -1.090909091 Simplifying a = -1.090909091
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