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Simplifying 5(c + -3) = 6(c + -4) Reorder the terms: 5(-3 + c) = 6(c + -4) (-3 * 5 + c * 5) = 6(c + -4) (-15 + 5c) = 6(c + -4) Reorder the terms: -15 + 5c = 6(-4 + c) -15 + 5c = (-4 * 6 + c * 6) -15 + 5c = (-24 + 6c) Solving -15 + 5c = -24 + 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 = -24 + 6c + -6c Combine like terms: 5c + -6c = -1c -15 + -1c = -24 + 6c + -6c Combine like terms: 6c + -6c = 0 -15 + -1c = -24 + 0 -15 + -1c = -24 Add '15' to each side of the equation. -15 + 15 + -1c = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -1c = -24 + 15 -1c = -24 + 15 Combine like terms: -24 + 15 = -9 -1c = -9 Divide each side by '-1'. c = 9 Simplifying c = 9
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