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Simplifying 3c + -24 = 6(c + -24) Reorder the terms: -24 + 3c = 6(c + -24) Reorder the terms: -24 + 3c = 6(-24 + c) -24 + 3c = (-24 * 6 + c * 6) -24 + 3c = (-144 + 6c) Solving -24 + 3c = -144 + 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. -24 + 3c + -6c = -144 + 6c + -6c Combine like terms: 3c + -6c = -3c -24 + -3c = -144 + 6c + -6c Combine like terms: 6c + -6c = 0 -24 + -3c = -144 + 0 -24 + -3c = -144 Add '24' to each side of the equation. -24 + 24 + -3c = -144 + 24 Combine like terms: -24 + 24 = 0 0 + -3c = -144 + 24 -3c = -144 + 24 Combine like terms: -144 + 24 = -120 -3c = -120 Divide each side by '-3'. c = 40 Simplifying c = 40
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