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Simplifying 3[(2c) + -4 + -1(-1c) + 3] = 2c + 4 Remove parenthesis around (-1c) 3[(2c) + -4 + -1 * -1c + 3] = 2c + 4 Multiply -1 * -1 3[(2c) + -4 + 1c + 3] = 2c + 4 Reorder the terms: 3[-4 + 3 + (2c) + 1c] = 2c + 4 Combine like terms: -4 + 3 = -1 3[-1 + (2c) + 1c] = 2c + 4 Combine like terms: (2c) + 1c = 3c 3[-1 + 3c] = 2c + 4 [-1 * 3 + 3c * 3] = 2c + 4 [-3 + 9c] = 2c + 4 Reorder the terms: -3 + 9c = 4 + 2c Solving -3 + 9c = 4 + 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. -3 + 9c + -2c = 4 + 2c + -2c Combine like terms: 9c + -2c = 7c -3 + 7c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 -3 + 7c = 4 + 0 -3 + 7c = 4 Add '3' to each side of the equation. -3 + 3 + 7c = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 7c = 4 + 3 7c = 4 + 3 Combine like terms: 4 + 3 = 7 7c = 7 Divide each side by '7'. c = 1 Simplifying c = 1
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