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Simplifying -4(w + -2) = 2w + -10 Reorder the terms: -4(-2 + w) = 2w + -10 (-2 * -4 + w * -4) = 2w + -10 (8 + -4w) = 2w + -10 Reorder the terms: 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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