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Simplifying 12(4c + -4) = 8c + -5 Reorder the terms: 12(-4 + 4c) = 8c + -5 (-4 * 12 + 4c * 12) = 8c + -5 (-48 + 48c) = 8c + -5 Reorder the terms: -48 + 48c = -5 + 8c Solving -48 + 48c = -5 + 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. -48 + 48c + -8c = -5 + 8c + -8c Combine like terms: 48c + -8c = 40c -48 + 40c = -5 + 8c + -8c Combine like terms: 8c + -8c = 0 -48 + 40c = -5 + 0 -48 + 40c = -5 Add '48' to each side of the equation. -48 + 48 + 40c = -5 + 48 Combine like terms: -48 + 48 = 0 0 + 40c = -5 + 48 40c = -5 + 48 Combine like terms: -5 + 48 = 43 40c = 43 Divide each side by '40'. c = 1.075 Simplifying c = 1.075
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