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Simplifying 45c + -1200 = 60c + -1800 Reorder the terms: -1200 + 45c = 60c + -1800 Reorder the terms: -1200 + 45c = -1800 + 60c Solving -1200 + 45c = -1800 + 60c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-60c' to each side of the equation. -1200 + 45c + -60c = -1800 + 60c + -60c Combine like terms: 45c + -60c = -15c -1200 + -15c = -1800 + 60c + -60c Combine like terms: 60c + -60c = 0 -1200 + -15c = -1800 + 0 -1200 + -15c = -1800 Add '1200' to each side of the equation. -1200 + 1200 + -15c = -1800 + 1200 Combine like terms: -1200 + 1200 = 0 0 + -15c = -1800 + 1200 -15c = -1800 + 1200 Combine like terms: -1800 + 1200 = -600 -15c = -600 Divide each side by '-15'. c = 40 Simplifying c = 40
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