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Simplifying 52 + -1[3c + 4] = 4[c + 6] + c Reorder the terms: 52 + -1[4 + 3c] = 4[c + 6] + c 52 + [4 * -1 + 3c * -1] = 4[c + 6] + c 52 + [-4 + -3c] = 4[c + 6] + c Combine like terms: 52 + -4 = 48 48 + -3c = 4[c + 6] + c Reorder the terms: 48 + -3c = 4[6 + c] + c 48 + -3c = [6 * 4 + c * 4] + c 48 + -3c = [24 + 4c] + c Combine like terms: 4c + c = 5c 48 + -3c = 24 + 5c Solving 48 + -3c = 24 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 48 + -3c + -5c = 24 + 5c + -5c Combine like terms: -3c + -5c = -8c 48 + -8c = 24 + 5c + -5c Combine like terms: 5c + -5c = 0 48 + -8c = 24 + 0 48 + -8c = 24 Add '-48' to each side of the equation. 48 + -48 + -8c = 24 + -48 Combine like terms: 48 + -48 = 0 0 + -8c = 24 + -48 -8c = 24 + -48 Combine like terms: 24 + -48 = -24 -8c = -24 Divide each side by '-8'. c = 3 Simplifying c = 3
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