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Simplifying 7(C + -5) = 8(C + -8) Reorder the terms: 7(-5 + C) = 8(C + -8) (-5 * 7 + C * 7) = 8(C + -8) (-35 + 7C) = 8(C + -8) Reorder the terms: -35 + 7C = 8(-8 + C) -35 + 7C = (-8 * 8 + C * 8) -35 + 7C = (-64 + 8C) Solving -35 + 7C = -64 + 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. -35 + 7C + -8C = -64 + 8C + -8C Combine like terms: 7C + -8C = -1C -35 + -1C = -64 + 8C + -8C Combine like terms: 8C + -8C = 0 -35 + -1C = -64 + 0 -35 + -1C = -64 Add '35' to each side of the equation. -35 + 35 + -1C = -64 + 35 Combine like terms: -35 + 35 = 0 0 + -1C = -64 + 35 -1C = -64 + 35 Combine like terms: -64 + 35 = -29 -1C = -29 Divide each side by '-1'. C = 29 Simplifying C = 29
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