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Simplifying 7(7c + 10) + -4c = 4(5c + 5) Reorder the terms: 7(10 + 7c) + -4c = 4(5c + 5) (10 * 7 + 7c * 7) + -4c = 4(5c + 5) (70 + 49c) + -4c = 4(5c + 5) Combine like terms: 49c + -4c = 45c 70 + 45c = 4(5c + 5) Reorder the terms: 70 + 45c = 4(5 + 5c) 70 + 45c = (5 * 4 + 5c * 4) 70 + 45c = (20 + 20c) Solving 70 + 45c = 20 + 20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20c' to each side of the equation. 70 + 45c + -20c = 20 + 20c + -20c Combine like terms: 45c + -20c = 25c 70 + 25c = 20 + 20c + -20c Combine like terms: 20c + -20c = 0 70 + 25c = 20 + 0 70 + 25c = 20 Add '-70' to each side of the equation. 70 + -70 + 25c = 20 + -70 Combine like terms: 70 + -70 = 0 0 + 25c = 20 + -70 25c = 20 + -70 Combine like terms: 20 + -70 = -50 25c = -50 Divide each side by '25'. c = -2 Simplifying c = -2
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