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Simplifying (c2 + 3c) + -1(c2 + -4c) = 9c + -16 Reorder the terms: (3c + c2) + -1(c2 + -4c) = 9c + -16 Remove parenthesis around (3c + c2) 3c + c2 + -1(c2 + -4c) = 9c + -16 Reorder the terms: 3c + c2 + -1(-4c + c2) = 9c + -16 3c + c2 + (-4c * -1 + c2 * -1) = 9c + -16 3c + c2 + (4c + -1c2) = 9c + -16 Reorder the terms: 3c + 4c + c2 + -1c2 = 9c + -16 Combine like terms: 3c + 4c = 7c 7c + c2 + -1c2 = 9c + -16 Combine like terms: c2 + -1c2 = 0 7c + 0 = 9c + -16 7c = 9c + -16 Reorder the terms: 7c = -16 + 9c Solving 7c = -16 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 7c + -9c = -16 + 9c + -9c Combine like terms: 7c + -9c = -2c -2c = -16 + 9c + -9c Combine like terms: 9c + -9c = 0 -2c = -16 + 0 -2c = -16 Divide each side by '-2'. c = 8 Simplifying c = 8
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