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Simplifying 4(c + -4) = 5(c + -5) Reorder the terms: 4(-4 + c) = 5(c + -5) (-4 * 4 + c * 4) = 5(c + -5) (-16 + 4c) = 5(c + -5) Reorder the terms: -16 + 4c = 5(-5 + c) -16 + 4c = (-5 * 5 + c * 5) -16 + 4c = (-25 + 5c) Solving -16 + 4c = -25 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -16 + 4c + -5c = -25 + 5c + -5c Combine like terms: 4c + -5c = -1c -16 + -1c = -25 + 5c + -5c Combine like terms: 5c + -5c = 0 -16 + -1c = -25 + 0 -16 + -1c = -25 Add '16' to each side of the equation. -16 + 16 + -1c = -25 + 16 Combine like terms: -16 + 16 = 0 0 + -1c = -25 + 16 -1c = -25 + 16 Combine like terms: -25 + 16 = -9 -1c = -9 Divide each side by '-1'. c = 9 Simplifying c = 9
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