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Simplifying 5(c + -4) + 2c = 3(c + 10) + -2 Reorder the terms: 5(-4 + c) + 2c = 3(c + 10) + -2 (-4 * 5 + c * 5) + 2c = 3(c + 10) + -2 (-20 + 5c) + 2c = 3(c + 10) + -2 Combine like terms: 5c + 2c = 7c -20 + 7c = 3(c + 10) + -2 Reorder the terms: -20 + 7c = 3(10 + c) + -2 -20 + 7c = (10 * 3 + c * 3) + -2 -20 + 7c = (30 + 3c) + -2 Reorder the terms: -20 + 7c = 30 + -2 + 3c Combine like terms: 30 + -2 = 28 -20 + 7c = 28 + 3c Solving -20 + 7c = 28 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -20 + 7c + -3c = 28 + 3c + -3c Combine like terms: 7c + -3c = 4c -20 + 4c = 28 + 3c + -3c Combine like terms: 3c + -3c = 0 -20 + 4c = 28 + 0 -20 + 4c = 28 Add '20' to each side of the equation. -20 + 20 + 4c = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 4c = 28 + 20 4c = 28 + 20 Combine like terms: 28 + 20 = 48 4c = 48 Divide each side by '4'. c = 12 Simplifying c = 12
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