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Simplifying 2c + -5(c + -3) = 2(c + -10) Reorder the terms: 2c + -5(-3 + c) = 2(c + -10) 2c + (-3 * -5 + c * -5) = 2(c + -10) 2c + (15 + -5c) = 2(c + -10) Reorder the terms: 15 + 2c + -5c = 2(c + -10) Combine like terms: 2c + -5c = -3c 15 + -3c = 2(c + -10) Reorder the terms: 15 + -3c = 2(-10 + c) 15 + -3c = (-10 * 2 + c * 2) 15 + -3c = (-20 + 2c) Solving 15 + -3c = -20 + 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. 15 + -3c + -2c = -20 + 2c + -2c Combine like terms: -3c + -2c = -5c 15 + -5c = -20 + 2c + -2c Combine like terms: 2c + -2c = 0 15 + -5c = -20 + 0 15 + -5c = -20 Add '-15' to each side of the equation. 15 + -15 + -5c = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -5c = -20 + -15 -5c = -20 + -15 Combine like terms: -20 + -15 = -35 -5c = -35 Divide each side by '-5'. c = 7 Simplifying c = 7
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