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Simplifying 13 = 8c + -2 + 7c Reorder the terms: 13 = -2 + 8c + 7c Combine like terms: 8c + 7c = 15c 13 = -2 + 15c Solving 13 = -2 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. 13 + -15c = -2 + 15c + -15c Combine like terms: 15c + -15c = 0 13 + -15c = -2 + 0 13 + -15c = -2 Add '-13' to each side of the equation. 13 + -13 + -15c = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -15c = -2 + -13 -15c = -2 + -13 Combine like terms: -2 + -13 = -15 -15c = -15 Divide each side by '-15'. c = 1 Simplifying c = 1
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