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Simplifying 12(6c + -1) + -18 = 70c + 12 Reorder the terms: 12(-1 + 6c) + -18 = 70c + 12 (-1 * 12 + 6c * 12) + -18 = 70c + 12 (-12 + 72c) + -18 = 70c + 12 Reorder the terms: -12 + -18 + 72c = 70c + 12 Combine like terms: -12 + -18 = -30 -30 + 72c = 70c + 12 Reorder the terms: -30 + 72c = 12 + 70c Solving -30 + 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. -30 + 72c + -70c = 12 + 70c + -70c Combine like terms: 72c + -70c = 2c -30 + 2c = 12 + 70c + -70c Combine like terms: 70c + -70c = 0 -30 + 2c = 12 + 0 -30 + 2c = 12 Add '30' to each side of the equation. -30 + 30 + 2c = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 2c = 12 + 30 2c = 12 + 30 Combine like terms: 12 + 30 = 42 2c = 42 Divide each side by '2'. c = 21 Simplifying c = 21
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