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Simplifying 15(4c + -3) = 6c + -7 Reorder the terms: 15(-3 + 4c) = 6c + -7 (-3 * 15 + 4c * 15) = 6c + -7 (-45 + 60c) = 6c + -7 Reorder the terms: -45 + 60c = -7 + 6c Solving -45 + 60c = -7 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -45 + 60c + -6c = -7 + 6c + -6c Combine like terms: 60c + -6c = 54c -45 + 54c = -7 + 6c + -6c Combine like terms: 6c + -6c = 0 -45 + 54c = -7 + 0 -45 + 54c = -7 Add '45' to each side of the equation. -45 + 45 + 54c = -7 + 45 Combine like terms: -45 + 45 = 0 0 + 54c = -7 + 45 54c = -7 + 45 Combine like terms: -7 + 45 = 38 54c = 38 Divide each side by '54'. c = 0.7037037037 Simplifying c = 0.7037037037
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