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Simplifying 8[c + -9] = 6[c + -12] + -4c Reorder the terms: 8[-9 + c] = 6[c + -12] + -4c [-9 * 8 + c * 8] = 6[c + -12] + -4c [-72 + 8c] = 6[c + -12] + -4c Reorder the terms: -72 + 8c = 6[-12 + c] + -4c -72 + 8c = [-12 * 6 + c * 6] + -4c -72 + 8c = [-72 + 6c] + -4c Combine like terms: 6c + -4c = 2c -72 + 8c = -72 + 2c Add '72' to each side of the equation. -72 + 72 + 8c = -72 + 72 + 2c Combine like terms: -72 + 72 = 0 0 + 8c = -72 + 72 + 2c 8c = -72 + 72 + 2c Combine like terms: -72 + 72 = 0 8c = 0 + 2c 8c = 2c Solving 8c = 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 8c + -2c = 2c + -2c Combine like terms: 8c + -2c = 6c 6c = 2c + -2c Combine like terms: 2c + -2c = 0 6c = 0 Divide each side by '6'. c = 0 Simplifying c = 0
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