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Simplifying 5c + -1(9c + 2) + -2c + 10 = 0 Reorder the terms: 5c + -1(2 + 9c) + -2c + 10 = 0 5c + (2 * -1 + 9c * -1) + -2c + 10 = 0 5c + (-2 + -9c) + -2c + 10 = 0 Reorder the terms: -2 + 10 + 5c + -9c + -2c = 0 Combine like terms: -2 + 10 = 8 8 + 5c + -9c + -2c = 0 Combine like terms: 5c + -9c = -4c 8 + -4c + -2c = 0 Combine like terms: -4c + -2c = -6c 8 + -6c = 0 Solving 8 + -6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6c = 0 + -8 -6c = 0 + -8 Combine like terms: 0 + -8 = -8 -6c = -8 Divide each side by '-6'. c = 1.333333333 Simplifying c = 1.333333333
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