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Simplifying 3c + -2(c + 10) = 7c + -5(c + 2) Reorder the terms: 3c + -2(10 + c) = 7c + -5(c + 2) 3c + (10 * -2 + c * -2) = 7c + -5(c + 2) 3c + (-20 + -2c) = 7c + -5(c + 2) Reorder the terms: -20 + 3c + -2c = 7c + -5(c + 2) Combine like terms: 3c + -2c = 1c -20 + 1c = 7c + -5(c + 2) Reorder the terms: -20 + 1c = 7c + -5(2 + c) -20 + 1c = 7c + (2 * -5 + c * -5) -20 + 1c = 7c + (-10 + -5c) Reorder the terms: -20 + 1c = -10 + 7c + -5c Combine like terms: 7c + -5c = 2c -20 + 1c = -10 + 2c Solving -20 + 1c = -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. -20 + 1c + -2c = -10 + 2c + -2c Combine like terms: 1c + -2c = -1c -20 + -1c = -10 + 2c + -2c Combine like terms: 2c + -2c = 0 -20 + -1c = -10 + 0 -20 + -1c = -10 Add '20' to each side of the equation. -20 + 20 + -1c = -10 + 20 Combine like terms: -20 + 20 = 0 0 + -1c = -10 + 20 -1c = -10 + 20 Combine like terms: -10 + 20 = 10 -1c = 10 Divide each side by '-1'. c = -10 Simplifying c = -10
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