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Simplifying 3(3 + 5c) + -1 = -4c + 3 + 10c (3 * 3 + 5c * 3) + -1 = -4c + 3 + 10c (9 + 15c) + -1 = -4c + 3 + 10c Reorder the terms: 9 + -1 + 15c = -4c + 3 + 10c Combine like terms: 9 + -1 = 8 8 + 15c = -4c + 3 + 10c Reorder the terms: 8 + 15c = 3 + -4c + 10c Combine like terms: -4c + 10c = 6c 8 + 15c = 3 + 6c Solving 8 + 15c = 3 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 8 + 15c + -6c = 3 + 6c + -6c Combine like terms: 15c + -6c = 9c 8 + 9c = 3 + 6c + -6c Combine like terms: 6c + -6c = 0 8 + 9c = 3 + 0 8 + 9c = 3 Add '-8' to each side of the equation. 8 + -8 + 9c = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 9c = 3 + -8 9c = 3 + -8 Combine like terms: 3 + -8 = -5 9c = -5 Divide each side by '9'. c = -0.5555555556 Simplifying c = -0.5555555556
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