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Simplifying 19c + 14 = -5(-12c + -11) Reorder the terms: 14 + 19c = -5(-12c + -11) Reorder the terms: 14 + 19c = -5(-11 + -12c) 14 + 19c = (-11 * -5 + -12c * -5) 14 + 19c = (55 + 60c) Solving 14 + 19c = 55 + 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. 14 + 19c + -60c = 55 + 60c + -60c Combine like terms: 19c + -60c = -41c 14 + -41c = 55 + 60c + -60c Combine like terms: 60c + -60c = 0 14 + -41c = 55 + 0 14 + -41c = 55 Add '-14' to each side of the equation. 14 + -14 + -41c = 55 + -14 Combine like terms: 14 + -14 = 0 0 + -41c = 55 + -14 -41c = 55 + -14 Combine like terms: 55 + -14 = 41 -41c = 41 Divide each side by '-41'. c = -1 Simplifying c = -1
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