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Simplifying 12(6c + -1) + -14 = 70c + 12 Reorder the terms: 12(-1 + 6c) + -14 = 70c + 12 (-1 * 12 + 6c * 12) + -14 = 70c + 12 (-12 + 72c) + -14 = 70c + 12 Reorder the terms: -12 + -14 + 72c = 70c + 12 Combine like terms: -12 + -14 = -26 -26 + 72c = 70c + 12 Reorder the terms: -26 + 72c = 12 + 70c Solving -26 + 72c = 12 + 70c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-70c' to each side of the equation. -26 + 72c + -70c = 12 + 70c + -70c Combine like terms: 72c + -70c = 2c -26 + 2c = 12 + 70c + -70c Combine like terms: 70c + -70c = 0 -26 + 2c = 12 + 0 -26 + 2c = 12 Add '26' to each side of the equation. -26 + 26 + 2c = 12 + 26 Combine like terms: -26 + 26 = 0 0 + 2c = 12 + 26 2c = 12 + 26 Combine like terms: 12 + 26 = 38 2c = 38 Divide each side by '2'. c = 19 Simplifying c = 19
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