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Simplifying 5c + -8 = 8(5 + c) Reorder the terms: -8 + 5c = 8(5 + c) -8 + 5c = (5 * 8 + c * 8) -8 + 5c = (40 + 8c) Solving -8 + 5c = 40 + 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. -8 + 5c + -8c = 40 + 8c + -8c Combine like terms: 5c + -8c = -3c -8 + -3c = 40 + 8c + -8c Combine like terms: 8c + -8c = 0 -8 + -3c = 40 + 0 -8 + -3c = 40 Add '8' to each side of the equation. -8 + 8 + -3c = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -3c = 40 + 8 -3c = 40 + 8 Combine like terms: 40 + 8 = 48 -3c = 48 Divide each side by '-3'. c = -16 Simplifying c = -16
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