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Simplifying 13 + -2(3 + -2a) = 5(2 + 2a) + -9a 13 + (3 * -2 + -2a * -2) = 5(2 + 2a) + -9a 13 + (-6 + 4a) = 5(2 + 2a) + -9a Combine like terms: 13 + -6 = 7 7 + 4a = 5(2 + 2a) + -9a 7 + 4a = (2 * 5 + 2a * 5) + -9a 7 + 4a = (10 + 10a) + -9a Combine like terms: 10a + -9a = 1a 7 + 4a = 10 + 1a Solving 7 + 4a = 10 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + 4a + -1a = 10 + 1a + -1a Combine like terms: 4a + -1a = 3a 7 + 3a = 10 + 1a + -1a Combine like terms: 1a + -1a = 0 7 + 3a = 10 + 0 7 + 3a = 10 Add '-7' to each side of the equation. 7 + -7 + 3a = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = 10 + -7 3a = 10 + -7 Combine like terms: 10 + -7 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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