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Simplifying 5(c + 7) + -1c = -3(2c + -5) Reorder the terms: 5(7 + c) + -1c = -3(2c + -5) (7 * 5 + c * 5) + -1c = -3(2c + -5) (35 + 5c) + -1c = -3(2c + -5) Combine like terms: 5c + -1c = 4c 35 + 4c = -3(2c + -5) Reorder the terms: 35 + 4c = -3(-5 + 2c) 35 + 4c = (-5 * -3 + 2c * -3) 35 + 4c = (15 + -6c) Solving 35 + 4c = 15 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 35 + 4c + 6c = 15 + -6c + 6c Combine like terms: 4c + 6c = 10c 35 + 10c = 15 + -6c + 6c Combine like terms: -6c + 6c = 0 35 + 10c = 15 + 0 35 + 10c = 15 Add '-35' to each side of the equation. 35 + -35 + 10c = 15 + -35 Combine like terms: 35 + -35 = 0 0 + 10c = 15 + -35 10c = 15 + -35 Combine like terms: 15 + -35 = -20 10c = -20 Divide each side by '10'. c = -2 Simplifying c = -2
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