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Simplifying 7(C + -5) = 6 + -1(C + 1) Reorder the terms: 7(-5 + C) = 6 + -1(C + 1) (-5 * 7 + C * 7) = 6 + -1(C + 1) (-35 + 7C) = 6 + -1(C + 1) Reorder the terms: -35 + 7C = 6 + -1(1 + C) -35 + 7C = 6 + (1 * -1 + C * -1) -35 + 7C = 6 + (-1 + -1C) Combine like terms: 6 + -1 = 5 -35 + 7C = 5 + -1C Solving -35 + 7C = 5 + -1C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add 'C' to each side of the equation. -35 + 7C + C = 5 + -1C + C Combine like terms: 7C + C = 8C -35 + 8C = 5 + -1C + C Combine like terms: -1C + C = 0 -35 + 8C = 5 + 0 -35 + 8C = 5 Add '35' to each side of the equation. -35 + 35 + 8C = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 8C = 5 + 35 8C = 5 + 35 Combine like terms: 5 + 35 = 40 8C = 40 Divide each side by '8'. C = 5 Simplifying C = 5
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