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Simplifying 4(c + -5) = 5(c + -7) Reorder the terms: 4(-5 + c) = 5(c + -7) (-5 * 4 + c * 4) = 5(c + -7) (-20 + 4c) = 5(c + -7) Reorder the terms: -20 + 4c = 5(-7 + c) -20 + 4c = (-7 * 5 + c * 5) -20 + 4c = (-35 + 5c) Solving -20 + 4c = -35 + 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. -20 + 4c + -5c = -35 + 5c + -5c Combine like terms: 4c + -5c = -1c -20 + -1c = -35 + 5c + -5c Combine like terms: 5c + -5c = 0 -20 + -1c = -35 + 0 -20 + -1c = -35 Add '20' to each side of the equation. -20 + 20 + -1c = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -1c = -35 + 20 -1c = -35 + 20 Combine like terms: -35 + 20 = -15 -1c = -15 Divide each side by '-1'. c = 15 Simplifying c = 15
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