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Simplifying 13 + -1(2a + 2) = 2(c + 2) + 3c Reorder the terms: 13 + -1(2 + 2a) = 2(c + 2) + 3c 13 + (2 * -1 + 2a * -1) = 2(c + 2) + 3c 13 + (-2 + -2a) = 2(c + 2) + 3c Combine like terms: 13 + -2 = 11 11 + -2a = 2(c + 2) + 3c Reorder the terms: 11 + -2a = 2(2 + c) + 3c 11 + -2a = (2 * 2 + c * 2) + 3c 11 + -2a = (4 + 2c) + 3c Combine like terms: 2c + 3c = 5c 11 + -2a = 4 + 5c Solving 11 + -2a = 4 + 5c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2a = 4 + -11 + 5c Combine like terms: 11 + -11 = 0 0 + -2a = 4 + -11 + 5c -2a = 4 + -11 + 5c Combine like terms: 4 + -11 = -7 -2a = -7 + 5c Divide each side by '-2'. a = 3.5 + -2.5c Simplifying a = 3.5 + -2.5c
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