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Simplifying 2[c + -6] = 3[c + -8] Reorder the terms: 2[-6 + c] = 3[c + -8] [-6 * 2 + c * 2] = 3[c + -8] [-12 + 2c] = 3[c + -8] Reorder the terms: -12 + 2c = 3[-8 + c] -12 + 2c = [-8 * 3 + c * 3] -12 + 2c = [-24 + 3c] Solving -12 + 2c = -24 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -12 + 2c + -3c = -24 + 3c + -3c Combine like terms: 2c + -3c = -1c -12 + -1c = -24 + 3c + -3c Combine like terms: 3c + -3c = 0 -12 + -1c = -24 + 0 -12 + -1c = -24 Add '12' to each side of the equation. -12 + 12 + -1c = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -1c = -24 + 12 -1c = -24 + 12 Combine like terms: -24 + 12 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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