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Simplifying -14 = 4(w + -5) + 2w Reorder the terms: -14 = 4(-5 + w) + 2w -14 = (-5 * 4 + w * 4) + 2w -14 = (-20 + 4w) + 2w Combine like terms: 4w + 2w = 6w -14 = -20 + 6w Solving -14 = -20 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -14 + -6w = -20 + 6w + -6w Combine like terms: 6w + -6w = 0 -14 + -6w = -20 + 0 -14 + -6w = -20 Add '14' to each side of the equation. -14 + 14 + -6w = -20 + 14 Combine like terms: -14 + 14 = 0 0 + -6w = -20 + 14 -6w = -20 + 14 Combine like terms: -20 + 14 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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