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Simplifying 7 = 2 + 5(c + -2) Reorder the terms: 7 = 2 + 5(-2 + c) 7 = 2 + (-2 * 5 + c * 5) 7 = 2 + (-10 + 5c) Combine like terms: 2 + -10 = -8 7 = -8 + 5c Solving 7 = -8 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 7 + -5c = -8 + 5c + -5c Combine like terms: 5c + -5c = 0 7 + -5c = -8 + 0 7 + -5c = -8 Add '-7' to each side of the equation. 7 + -7 + -5c = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -5c = -8 + -7 -5c = -8 + -7 Combine like terms: -8 + -7 = -15 -5c = -15 Divide each side by '-5'. c = 3 Simplifying c = 3
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