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Simplifying 5(3 + -1a) = 3a + a + -3 (3 * 5 + -1a * 5) = 3a + a + -3 (15 + -5a) = 3a + a + -3 Reorder the terms: 15 + -5a = -3 + 3a + a Combine like terms: 3a + a = 4a 15 + -5a = -3 + 4a Solving 15 + -5a = -3 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 15 + -5a + -4a = -3 + 4a + -4a Combine like terms: -5a + -4a = -9a 15 + -9a = -3 + 4a + -4a Combine like terms: 4a + -4a = 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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