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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 = -6 -6 + 4w = 6 + -2w Solving -6 + 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. -6 + 4w + 2w = 6 + -2w + 2w Combine like terms: 4w + 2w = 6w -6 + 6w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 -6 + 6w = 6 + 0 -6 + 6w = 6 Add '6' to each side of the equation. -6 + 6 + 6w = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6w = 6 + 6 6w = 6 + 6 Combine like terms: 6 + 6 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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