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Simplifying 32 = 8(c + -1) Reorder the terms: 32 = 8(-1 + c) 32 = (-1 * 8 + c * 8) 32 = (-8 + 8c) Solving 32 = -8 + 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. 32 + -8c = -8 + 8c + -8c Combine like terms: 8c + -8c = 0 32 + -8c = -8 + 0 32 + -8c = -8 Add '-32' to each side of the equation. 32 + -32 + -8c = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -8c = -8 + -32 -8c = -8 + -32 Combine like terms: -8 + -32 = -40 -8c = -40 Divide each side by '-8'. c = 5 Simplifying c = 5
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