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Simplifying -4w + 8 = 2(w + -5) Reorder the terms: 8 + -4w = 2(w + -5) Reorder the terms: 8 + -4w = 2(-5 + w) 8 + -4w = (-5 * 2 + w * 2) 8 + -4w = (-10 + 2w) Solving 8 + -4w = -10 + 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. 8 + -4w + -2w = -10 + 2w + -2w Combine like terms: -4w + -2w = -6w 8 + -6w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + -6w = -10 + 0 8 + -6w = -10 Add '-8' to each side of the equation. 8 + -8 + -6w = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6w = -10 + -8 -6w = -10 + -8 Combine like terms: -10 + -8 = -18 -6w = -18 Divide each side by '-6'. w = 3 Simplifying w = 3
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