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Simplifying (9c + 4) + -1(2c + -6) = (5c + 3) + (4c + -6) Reorder the terms: (4 + 9c) + -1(2c + -6) = (5c + 3) + (4c + -6) Remove parenthesis around (4 + 9c) 4 + 9c + -1(2c + -6) = (5c + 3) + (4c + -6) Reorder the terms: 4 + 9c + -1(-6 + 2c) = (5c + 3) + (4c + -6) 4 + 9c + (-6 * -1 + 2c * -1) = (5c + 3) + (4c + -6) 4 + 9c + (6 + -2c) = (5c + 3) + (4c + -6) Reorder the terms: 4 + 6 + 9c + -2c = (5c + 3) + (4c + -6) Combine like terms: 4 + 6 = 10 10 + 9c + -2c = (5c + 3) + (4c + -6) Combine like terms: 9c + -2c = 7c 10 + 7c = (5c + 3) + (4c + -6) Reorder the terms: 10 + 7c = (3 + 5c) + (4c + -6) Remove parenthesis around (3 + 5c) 10 + 7c = 3 + 5c + (4c + -6) Reorder the terms: 10 + 7c = 3 + 5c + (-6 + 4c) Remove parenthesis around (-6 + 4c) 10 + 7c = 3 + 5c + -6 + 4c Reorder the terms: 10 + 7c = 3 + -6 + 5c + 4c Combine like terms: 3 + -6 = -3 10 + 7c = -3 + 5c + 4c Combine like terms: 5c + 4c = 9c 10 + 7c = -3 + 9c Solving 10 + 7c = -3 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 10 + 7c + -9c = -3 + 9c + -9c Combine like terms: 7c + -9c = -2c 10 + -2c = -3 + 9c + -9c Combine like terms: 9c + -9c = 0 10 + -2c = -3 + 0 10 + -2c = -3 Add '-10' to each side of the equation. 10 + -10 + -2c = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -2c = -3 + -10 -2c = -3 + -10 Combine like terms: -3 + -10 = -13 -2c = -13 Divide each side by '-2'. c = 6.5 Simplifying c = 6.5
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