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Simplifying 2(3 + -1a) + 7(2 + -1a) = 15 + -4a (3 * 2 + -1a * 2) + 7(2 + -1a) = 15 + -4a (6 + -2a) + 7(2 + -1a) = 15 + -4a 6 + -2a + (2 * 7 + -1a * 7) = 15 + -4a 6 + -2a + (14 + -7a) = 15 + -4a Reorder the terms: 6 + 14 + -2a + -7a = 15 + -4a Combine like terms: 6 + 14 = 20 20 + -2a + -7a = 15 + -4a Combine like terms: -2a + -7a = -9a 20 + -9a = 15 + -4a Solving 20 + -9a = 15 + -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. 20 + -9a + 4a = 15 + -4a + 4a Combine like terms: -9a + 4a = -5a 20 + -5a = 15 + -4a + 4a Combine like terms: -4a + 4a = 0 20 + -5a = 15 + 0 20 + -5a = 15 Add '-20' to each side of the equation. 20 + -20 + -5a = 15 + -20 Combine like terms: 20 + -20 = 0 0 + -5a = 15 + -20 -5a = 15 + -20 Combine like terms: 15 + -20 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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