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Simplifying -6(c + -5) + 10c + -16 = -34 Reorder the terms: -6(-5 + c) + 10c + -16 = -34 (-5 * -6 + c * -6) + 10c + -16 = -34 (30 + -6c) + 10c + -16 = -34 Reorder the terms: 30 + -16 + -6c + 10c = -34 Combine like terms: 30 + -16 = 14 14 + -6c + 10c = -34 Combine like terms: -6c + 10c = 4c 14 + 4c = -34 Solving 14 + 4c = -34 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4c = -34 + -14 Combine like terms: 14 + -14 = 0 0 + 4c = -34 + -14 4c = -34 + -14 Combine like terms: -34 + -14 = -48 4c = -48 Divide each side by '4'. c = -12 Simplifying c = -12
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