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Simplifying 3(5 + -2a) = 1 + -2(a + -1) (5 * 3 + -2a * 3) = 1 + -2(a + -1) (15 + -6a) = 1 + -2(a + -1) Reorder the terms: 15 + -6a = 1 + -2(-1 + a) 15 + -6a = 1 + (-1 * -2 + a * -2) 15 + -6a = 1 + (2 + -2a) Combine like terms: 1 + 2 = 3 15 + -6a = 3 + -2a Solving 15 + -6a = 3 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 15 + -6a + 2a = 3 + -2a + 2a Combine like terms: -6a + 2a = -4a 15 + -4a = 3 + -2a + 2a Combine like terms: -2a + 2a = 0 15 + -4a = 3 + 0 15 + -4a = 3 Add '-15' to each side of the equation. 15 + -15 + -4a = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -4a = 3 + -15 -4a = 3 + -15 Combine like terms: 3 + -15 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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