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Simplifying 14 + -4(w + -5) = 6 + -2w Reorder the terms: 14 + -4(-5 + w) = 6 + -2w 14 + (-5 * -4 + w * -4) = 6 + -2w 14 + (20 + -4w) = 6 + -2w Combine like terms: 14 + 20 = 34 34 + -4w = 6 + -2w Solving 34 + -4w = 6 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 34 + -4w + 2w = 6 + -2w + 2w Combine like terms: -4w + 2w = -2w 34 + -2w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 34 + -2w = 6 + 0 34 + -2w = 6 Add '-34' to each side of the equation. 34 + -34 + -2w = 6 + -34 Combine like terms: 34 + -34 = 0 0 + -2w = 6 + -34 -2w = 6 + -34 Combine like terms: 6 + -34 = -28 -2w = -28 Divide each side by '-2'. w = 14 Simplifying w = 14
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