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Simplifying 3(c + -5) = 4(c + -6) Reorder the terms: 3(-5 + c) = 4(c + -6) (-5 * 3 + c * 3) = 4(c + -6) (-15 + 3c) = 4(c + -6) Reorder the terms: -15 + 3c = 4(-6 + c) -15 + 3c = (-6 * 4 + c * 4) -15 + 3c = (-24 + 4c) Solving -15 + 3c = -24 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -15 + 3c + -4c = -24 + 4c + -4c Combine like terms: 3c + -4c = -1c -15 + -1c = -24 + 4c + -4c Combine like terms: 4c + -4c = 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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