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Simplifying c + 7 = -1(3 + 4c) Reorder the terms: 7 + c = -1(3 + 4c) 7 + c = (3 * -1 + 4c * -1) 7 + c = (-3 + -4c) Solving 7 + c = -3 + -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. 7 + c + 4c = -3 + -4c + 4c Combine like terms: c + 4c = 5c 7 + 5c = -3 + -4c + 4c Combine like terms: -4c + 4c = 0 7 + 5c = -3 + 0 7 + 5c = -3 Add '-7' to each side of the equation. 7 + -7 + 5c = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 5c = -3 + -7 5c = -3 + -7 Combine like terms: -3 + -7 = -10 5c = -10 Divide each side by '5'. c = -2 Simplifying c = -2
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