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Simplifying 15 + -2a = -3(3a + 1) + -2a Reorder the terms: 15 + -2a = -3(1 + 3a) + -2a 15 + -2a = (1 * -3 + 3a * -3) + -2a 15 + -2a = (-3 + -9a) + -2a Combine like terms: -9a + -2a = -11a 15 + -2a = -3 + -11a Solving 15 + -2a = -3 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. 15 + -2a + 11a = -3 + -11a + 11a Combine like terms: -2a + 11a = 9a 15 + 9a = -3 + -11a + 11a Combine like terms: -11a + 11a = 0 15 + 9a = -3 + 0 15 + 9a = -3 Add '-15' to each side of the equation. 15 + -15 + 9a = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 9a = -3 + -15 9a = -3 + -15 Combine like terms: -3 + -15 = -18 9a = -18 Divide each side by '9'. a = -2 Simplifying a = -2
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