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Simplifying 5c + 2 = 8c + -7 Reorder the terms: 2 + 5c = 8c + -7 Reorder the terms: 2 + 5c = -7 + 8c Solving 2 + 5c = -7 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 2 + 5c + -8c = -7 + 8c + -8c Combine like terms: 5c + -8c = -3c 2 + -3c = -7 + 8c + -8c Combine like terms: 8c + -8c = 0 2 + -3c = -7 + 0 2 + -3c = -7 Add '-2' to each side of the equation. 2 + -2 + -3c = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = -7 + -2 -3c = -7 + -2 Combine like terms: -7 + -2 = -9 -3c = -9 Divide each side by '-3'. c = 3 Simplifying c = 3
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