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Simplifying 5(c + 3) = 15 + 2(2c + -1) Reorder the terms: 5(3 + c) = 15 + 2(2c + -1) (3 * 5 + c * 5) = 15 + 2(2c + -1) (15 + 5c) = 15 + 2(2c + -1) Reorder the terms: 15 + 5c = 15 + 2(-1 + 2c) 15 + 5c = 15 + (-1 * 2 + 2c * 2) 15 + 5c = 15 + (-2 + 4c) Combine like terms: 15 + -2 = 13 15 + 5c = 13 + 4c Solving 15 + 5c = 13 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 15 + 5c + -4c = 13 + 4c + -4c Combine like terms: 5c + -4c = 1c 15 + 1c = 13 + 4c + -4c Combine like terms: 4c + -4c = 0 15 + 1c = 13 + 0 15 + 1c = 13 Add '-15' to each side of the equation. 15 + -15 + 1c = 13 + -15 Combine like terms: 15 + -15 = 0 0 + 1c = 13 + -15 1c = 13 + -15 Combine like terms: 13 + -15 = -2 1c = -2 Divide each side by '1'. c = -2 Simplifying c = -2
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