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Simplifying 2[c + -2] = 3[c + 1] Reorder the terms: 2[-2 + c] = 3[c + 1] [-2 * 2 + c * 2] = 3[c + 1] [-4 + 2c] = 3[c + 1] Reorder the terms: -4 + 2c = 3[1 + c] -4 + 2c = [1 * 3 + c * 3] -4 + 2c = [3 + 3c] Solving -4 + 2c = 3 + 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. -4 + 2c + -3c = 3 + 3c + -3c Combine like terms: 2c + -3c = -1c -4 + -1c = 3 + 3c + -3c Combine like terms: 3c + -3c = 0 -4 + -1c = 3 + 0 -4 + -1c = 3 Add '4' to each side of the equation. -4 + 4 + -1c = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -1c = 3 + 4 -1c = 3 + 4 Combine like terms: 3 + 4 = 7 -1c = 7 Divide each side by '-1'. c = -7 Simplifying c = -7
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