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Simplifying 12(5c + -3) = 10(8c + 7) Reorder the terms: 12(-3 + 5c) = 10(8c + 7) (-3 * 12 + 5c * 12) = 10(8c + 7) (-36 + 60c) = 10(8c + 7) Reorder the terms: -36 + 60c = 10(7 + 8c) -36 + 60c = (7 * 10 + 8c * 10) -36 + 60c = (70 + 80c) Solving -36 + 60c = 70 + 80c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-80c' to each side of the equation. -36 + 60c + -80c = 70 + 80c + -80c Combine like terms: 60c + -80c = -20c -36 + -20c = 70 + 80c + -80c Combine like terms: 80c + -80c = 0 -36 + -20c = 70 + 0 -36 + -20c = 70 Add '36' to each side of the equation. -36 + 36 + -20c = 70 + 36 Combine like terms: -36 + 36 = 0 0 + -20c = 70 + 36 -20c = 70 + 36 Combine like terms: 70 + 36 = 106 -20c = 106 Divide each side by '-20'. c = -5.3 Simplifying c = -5.3
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