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Simplifying 35 + 9c = 2(3c + -8) Reorder the terms: 35 + 9c = 2(-8 + 3c) 35 + 9c = (-8 * 2 + 3c * 2) 35 + 9c = (-16 + 6c) Solving 35 + 9c = -16 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 35 + 9c + -6c = -16 + 6c + -6c Combine like terms: 9c + -6c = 3c 35 + 3c = -16 + 6c + -6c Combine like terms: 6c + -6c = 0 35 + 3c = -16 + 0 35 + 3c = -16 Add '-35' to each side of the equation. 35 + -35 + 3c = -16 + -35 Combine like terms: 35 + -35 = 0 0 + 3c = -16 + -35 3c = -16 + -35 Combine like terms: -16 + -35 = -51 3c = -51 Divide each side by '3'. c = -17 Simplifying c = -17
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