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Simplifying 7(c + 1) = c + -2(4) Reorder the terms: 7(1 + c) = c + -2(4) (1 * 7 + c * 7) = c + -2(4) (7 + 7c) = c + -2(4) Multiply -2 * 4 7 + 7c = c + -8 Reorder the terms: 7 + 7c = -8 + c Solving 7 + 7c = -8 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 7 + 7c + -1c = -8 + c + -1c Combine like terms: 7c + -1c = 6c 7 + 6c = -8 + c + -1c Combine like terms: c + -1c = 0 7 + 6c = -8 + 0 7 + 6c = -8 Add '-7' to each side of the equation. 7 + -7 + 6c = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 6c = -8 + -7 6c = -8 + -7 Combine like terms: -8 + -7 = -15 6c = -15 Divide each side by '6'. c = -2.5 Simplifying c = -2.5
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