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Simplifying 32 + -5c + -2(c + -1) = -50 Reorder the terms: 32 + -5c + -2(-1 + c) = -50 32 + -5c + (-1 * -2 + c * -2) = -50 32 + -5c + (2 + -2c) = -50 Reorder the terms: 32 + 2 + -5c + -2c = -50 Combine like terms: 32 + 2 = 34 34 + -5c + -2c = -50 Combine like terms: -5c + -2c = -7c 34 + -7c = -50 Solving 34 + -7c = -50 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -7c = -50 + -34 Combine like terms: 34 + -34 = 0 0 + -7c = -50 + -34 -7c = -50 + -34 Combine like terms: -50 + -34 = -84 -7c = -84 Divide each side by '-7'. c = 12 Simplifying c = 12
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