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Simplifying 5(3c + -2) + -4c + 12 = 68 Reorder the terms: 5(-2 + 3c) + -4c + 12 = 68 (-2 * 5 + 3c * 5) + -4c + 12 = 68 (-10 + 15c) + -4c + 12 = 68 Reorder the terms: -10 + 12 + 15c + -4c = 68 Combine like terms: -10 + 12 = 2 2 + 15c + -4c = 68 Combine like terms: 15c + -4c = 11c 2 + 11c = 68 Solving 2 + 11c = 68 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11c = 68 + -2 Combine like terms: 2 + -2 = 0 0 + 11c = 68 + -2 11c = 68 + -2 Combine like terms: 68 + -2 = 66 11c = 66 Divide each side by '11'. c = 6 Simplifying c = 6
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