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Simplifying 10(6c + -1) + -12 = 58c + 10 Reorder the terms: 10(-1 + 6c) + -12 = 58c + 10 (-1 * 10 + 6c * 10) + -12 = 58c + 10 (-10 + 60c) + -12 = 58c + 10 Reorder the terms: -10 + -12 + 60c = 58c + 10 Combine like terms: -10 + -12 = -22 -22 + 60c = 58c + 10 Reorder the terms: -22 + 60c = 10 + 58c Solving -22 + 60c = 10 + 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. -22 + 60c + -58c = 10 + 58c + -58c Combine like terms: 60c + -58c = 2c -22 + 2c = 10 + 58c + -58c Combine like terms: 58c + -58c = 0 -22 + 2c = 10 + 0 -22 + 2c = 10 Add '22' to each side of the equation. -22 + 22 + 2c = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 2c = 10 + 22 2c = 10 + 22 Combine like terms: 10 + 22 = 32 2c = 32 Divide each side by '2'. c = 16 Simplifying c = 16
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