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Simplifying 4(c + -6) = 7c Reorder the terms: 4(-6 + c) = 7c (-6 * 4 + c * 4) = 7c (-24 + 4c) = 7c Solving -24 + 4c = 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -24 + 4c + -7c = 7c + -7c Combine like terms: 4c + -7c = -3c -24 + -3c = 7c + -7c Combine like terms: 7c + -7c = 0 -24 + -3c = 0 Add '24' to each side of the equation. -24 + 24 + -3c = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -3c = 0 + 24 -3c = 0 + 24 Combine like terms: 0 + 24 = 24 -3c = 24 Divide each side by '-3'. c = -8 Simplifying c = -8
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