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Simplifying 10c + -20 = -5(15c + -13) Reorder the terms: -20 + 10c = -5(15c + -13) Reorder the terms: -20 + 10c = -5(-13 + 15c) -20 + 10c = (-13 * -5 + 15c * -5) -20 + 10c = (65 + -75c) Solving -20 + 10c = 65 + -75c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '75c' to each side of the equation. -20 + 10c + 75c = 65 + -75c + 75c Combine like terms: 10c + 75c = 85c -20 + 85c = 65 + -75c + 75c Combine like terms: -75c + 75c = 0 -20 + 85c = 65 + 0 -20 + 85c = 65 Add '20' to each side of the equation. -20 + 20 + 85c = 65 + 20 Combine like terms: -20 + 20 = 0 0 + 85c = 65 + 20 85c = 65 + 20 Combine like terms: 65 + 20 = 85 85c = 85 Divide each side by '85'. c = 1 Simplifying c = 1
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