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Simplifying 15(4c + -1) + -2 = 58c + 15 Reorder the terms: 15(-1 + 4c) + -2 = 58c + 15 (-1 * 15 + 4c * 15) + -2 = 58c + 15 (-15 + 60c) + -2 = 58c + 15 Reorder the terms: -15 + -2 + 60c = 58c + 15 Combine like terms: -15 + -2 = -17 -17 + 60c = 58c + 15 Reorder the terms: -17 + 60c = 15 + 58c Solving -17 + 60c = 15 + 58c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-58c' to each side of the equation. -17 + 60c + -58c = 15 + 58c + -58c Combine like terms: 60c + -58c = 2c -17 + 2c = 15 + 58c + -58c Combine like terms: 58c + -58c = 0 -17 + 2c = 15 + 0 -17 + 2c = 15 Add '17' to each side of the equation. -17 + 17 + 2c = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 2c = 15 + 17 2c = 15 + 17 Combine like terms: 15 + 17 = 32 2c = 32 Divide each side by '2'. c = 16 Simplifying c = 16
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