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Simplifying -6c + 14 = 8(-1c + 6) Reorder the terms: 14 + -6c = 8(-1c + 6) Reorder the terms: 14 + -6c = 8(6 + -1c) 14 + -6c = (6 * 8 + -1c * 8) 14 + -6c = (48 + -8c) Solving 14 + -6c = 48 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. 14 + -6c + 8c = 48 + -8c + 8c Combine like terms: -6c + 8c = 2c 14 + 2c = 48 + -8c + 8c Combine like terms: -8c + 8c = 0 14 + 2c = 48 + 0 14 + 2c = 48 Add '-14' to each side of the equation. 14 + -14 + 2c = 48 + -14 Combine like terms: 14 + -14 = 0 0 + 2c = 48 + -14 2c = 48 + -14 Combine like terms: 48 + -14 = 34 2c = 34 Divide each side by '2'. c = 17 Simplifying c = 17
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