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Simplifying 8(9c + -1) + -14 = 70c + 8 Reorder the terms: 8(-1 + 9c) + -14 = 70c + 8 (-1 * 8 + 9c * 8) + -14 = 70c + 8 (-8 + 72c) + -14 = 70c + 8 Reorder the terms: -8 + -14 + 72c = 70c + 8 Combine like terms: -8 + -14 = -22 -22 + 72c = 70c + 8 Reorder the terms: -22 + 72c = 8 + 70c Solving -22 + 72c = 8 + 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. -22 + 72c + -70c = 8 + 70c + -70c Combine like terms: 72c + -70c = 2c -22 + 2c = 8 + 70c + -70c Combine like terms: 70c + -70c = 0 -22 + 2c = 8 + 0 -22 + 2c = 8 Add '22' to each side of the equation. -22 + 22 + 2c = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 2c = 8 + 22 2c = 8 + 22 Combine like terms: 8 + 22 = 30 2c = 30 Divide each side by '2'. c = 15 Simplifying c = 15
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