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Simplifying 5(c + -5) = 6(c + -6) Reorder the terms: 5(-5 + c) = 6(c + -6) (-5 * 5 + c * 5) = 6(c + -6) (-25 + 5c) = 6(c + -6) Reorder the terms: -25 + 5c = 6(-6 + c) -25 + 5c = (-6 * 6 + c * 6) -25 + 5c = (-36 + 6c) Solving -25 + 5c = -36 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -25 + 5c + -6c = -36 + 6c + -6c Combine like terms: 5c + -6c = -1c -25 + -1c = -36 + 6c + -6c Combine like terms: 6c + -6c = 0 -25 + -1c = -36 + 0 -25 + -1c = -36 Add '25' to each side of the equation. -25 + 25 + -1c = -36 + 25 Combine like terms: -25 + 25 = 0 0 + -1c = -36 + 25 -1c = -36 + 25 Combine like terms: -36 + 25 = -11 -1c = -11 Divide each side by '-1'. c = 11 Simplifying c = 11
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