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Simplifying 36 + -1[3c + 4] = 2[c + 7] + c Reorder the terms: 36 + -1[4 + 3c] = 2[c + 7] + c 36 + [4 * -1 + 3c * -1] = 2[c + 7] + c 36 + [-4 + -3c] = 2[c + 7] + c Combine like terms: 36 + -4 = 32 32 + -3c = 2[c + 7] + c Reorder the terms: 32 + -3c = 2[7 + c] + c 32 + -3c = [7 * 2 + c * 2] + c 32 + -3c = [14 + 2c] + c Combine like terms: 2c + c = 3c 32 + -3c = 14 + 3c Solving 32 + -3c = 14 + 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. 32 + -3c + -3c = 14 + 3c + -3c Combine like terms: -3c + -3c = -6c 32 + -6c = 14 + 3c + -3c Combine like terms: 3c + -3c = 0 32 + -6c = 14 + 0 32 + -6c = 14 Add '-32' to each side of the equation. 32 + -32 + -6c = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -6c = 14 + -32 -6c = 14 + -32 Combine like terms: 14 + -32 = -18 -6c = -18 Divide each side by '-6'. c = 3 Simplifying c = 3
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