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Simplifying 2(8 + -3c) = 4c + -34 (8 * 2 + -3c * 2) = 4c + -34 (16 + -6c) = 4c + -34 Reorder the terms: 16 + -6c = -34 + 4c Solving 16 + -6c = -34 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 16 + -6c + -4c = -34 + 4c + -4c Combine like terms: -6c + -4c = -10c 16 + -10c = -34 + 4c + -4c Combine like terms: 4c + -4c = 0 16 + -10c = -34 + 0 16 + -10c = -34 Add '-16' to each side of the equation. 16 + -16 + -10c = -34 + -16 Combine like terms: 16 + -16 = 0 0 + -10c = -34 + -16 -10c = -34 + -16 Combine like terms: -34 + -16 = -50 -10c = -50 Divide each side by '-10'. c = 5 Simplifying c = 5
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