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Simplifying 4(c + -6) = (c + 2) Reorder the terms: 4(-6 + c) = (c + 2) (-6 * 4 + c * 4) = (c + 2) (-24 + 4c) = (c + 2) Reorder the terms: -24 + 4c = (2 + c) Remove parenthesis around (2 + c) -24 + 4c = 2 + c Solving -24 + 4c = 2 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -24 + 4c + -1c = 2 + c + -1c Combine like terms: 4c + -1c = 3c -24 + 3c = 2 + c + -1c Combine like terms: c + -1c = 0 -24 + 3c = 2 + 0 -24 + 3c = 2 Add '24' to each side of the equation. -24 + 24 + 3c = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 3c = 2 + 24 3c = 2 + 24 Combine like terms: 2 + 24 = 26 3c = 26 Divide each side by '3'. c = 8.666666667 Simplifying c = 8.666666667
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