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Simplifying 15(c + 4) + c = 2(c + -5) Reorder the terms: 15(4 + c) + c = 2(c + -5) (4 * 15 + c * 15) + c = 2(c + -5) (60 + 15c) + c = 2(c + -5) Combine like terms: 15c + c = 16c 60 + 16c = 2(c + -5) Reorder the terms: 60 + 16c = 2(-5 + c) 60 + 16c = (-5 * 2 + c * 2) 60 + 16c = (-10 + 2c) Solving 60 + 16c = -10 + 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. 60 + 16c + -2c = -10 + 2c + -2c Combine like terms: 16c + -2c = 14c 60 + 14c = -10 + 2c + -2c Combine like terms: 2c + -2c = 0 60 + 14c = -10 + 0 60 + 14c = -10 Add '-60' to each side of the equation. 60 + -60 + 14c = -10 + -60 Combine like terms: 60 + -60 = 0 0 + 14c = -10 + -60 14c = -10 + -60 Combine like terms: -10 + -60 = -70 14c = -70 Divide each side by '14'. c = -5 Simplifying c = -5
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