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Simplifying 4(c + -4) = 5(c + -6) Reorder the terms: 4(-4 + c) = 5(c + -6) (-4 * 4 + c * 4) = 5(c + -6) (-16 + 4c) = 5(c + -6) Reorder the terms: -16 + 4c = 5(-6 + c) -16 + 4c = (-6 * 5 + c * 5) -16 + 4c = (-30 + 5c) Solving -16 + 4c = -30 + 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 = -30 + 5c + -5c Combine like terms: 4c + -5c = -1c -16 + -1c = -30 + 5c + -5c Combine like terms: 5c + -5c = 0 -16 + -1c = -30 + 0 -16 + -1c = -30 Add '16' to each side of the equation. -16 + 16 + -1c = -30 + 16 Combine like terms: -16 + 16 = 0 0 + -1c = -30 + 16 -1c = -30 + 16 Combine like terms: -30 + 16 = -14 -1c = -14 Divide each side by '-1'. c = 14 Simplifying c = 14
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