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Simplifying -29(w + -5) = -2w + 10 Reorder the terms: -29(-5 + w) = -2w + 10 (-5 * -29 + w * -29) = -2w + 10 (145 + -29w) = -2w + 10 Reorder the terms: 145 + -29w = 10 + -2w Solving 145 + -29w = 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. 145 + -29w + 2w = 10 + -2w + 2w Combine like terms: -29w + 2w = -27w 145 + -27w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 145 + -27w = 10 + 0 145 + -27w = 10 Add '-145' to each side of the equation. 145 + -145 + -27w = 10 + -145 Combine like terms: 145 + -145 = 0 0 + -27w = 10 + -145 -27w = 10 + -145 Combine like terms: 10 + -145 = -135 -27w = -135 Divide each side by '-27'. w = 5 Simplifying w = 5
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