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Simplifying 9(2c + 7) + -3c = 7(c + 5) Reorder the terms: 9(7 + 2c) + -3c = 7(c + 5) (7 * 9 + 2c * 9) + -3c = 7(c + 5) (63 + 18c) + -3c = 7(c + 5) Combine like terms: 18c + -3c = 15c 63 + 15c = 7(c + 5) Reorder the terms: 63 + 15c = 7(5 + c) 63 + 15c = (5 * 7 + c * 7) 63 + 15c = (35 + 7c) Solving 63 + 15c = 35 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 63 + 15c + -7c = 35 + 7c + -7c Combine like terms: 15c + -7c = 8c 63 + 8c = 35 + 7c + -7c Combine like terms: 7c + -7c = 0 63 + 8c = 35 + 0 63 + 8c = 35 Add '-63' to each side of the equation. 63 + -63 + 8c = 35 + -63 Combine like terms: 63 + -63 = 0 0 + 8c = 35 + -63 8c = 35 + -63 Combine like terms: 35 + -63 = -28 8c = -28 Divide each side by '8'. c = -3.5 Simplifying c = -3.5
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