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Simplifying 5(c + -3) = 6(c + -6) Reorder the terms: 5(-3 + c) = 6(c + -6) (-3 * 5 + c * 5) = 6(c + -6) (-15 + 5c) = 6(c + -6) Reorder the terms: -15 + 5c = 6(-6 + c) -15 + 5c = (-6 * 6 + c * 6) -15 + 5c = (-36 + 6c) Solving -15 + 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. -15 + 5c + -6c = -36 + 6c + -6c Combine like terms: 5c + -6c = -1c -15 + -1c = -36 + 6c + -6c Combine like terms: 6c + -6c = 0 -15 + -1c = -36 + 0 -15 + -1c = -36 Add '15' to each side of the equation. -15 + 15 + -1c = -36 + 15 Combine like terms: -15 + 15 = 0 0 + -1c = -36 + 15 -1c = -36 + 15 Combine like terms: -36 + 15 = -21 -1c = -21 Divide each side by '-1'. c = 21 Simplifying c = 21
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