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Simplifying 8 + 5c = 5 + -1(3c + -2) Reorder the terms: 8 + 5c = 5 + -1(-2 + 3c) 8 + 5c = 5 + (-2 * -1 + 3c * -1) 8 + 5c = 5 + (2 + -3c) Combine like terms: 5 + 2 = 7 8 + 5c = 7 + -3c Solving 8 + 5c = 7 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 8 + 5c + 3c = 7 + -3c + 3c Combine like terms: 5c + 3c = 8c 8 + 8c = 7 + -3c + 3c Combine like terms: -3c + 3c = 0 8 + 8c = 7 + 0 8 + 8c = 7 Add '-8' to each side of the equation. 8 + -8 + 8c = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 8c = 7 + -8 8c = 7 + -8 Combine like terms: 7 + -8 = -1 8c = -1 Divide each side by '8'. c = -0.125 Simplifying c = -0.125
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