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Simplifying -2w + 5 = -1(w + 10) Reorder the terms: 5 + -2w = -1(w + 10) Reorder the terms: 5 + -2w = -1(10 + w) 5 + -2w = (10 * -1 + w * -1) 5 + -2w = (-10 + -1w) Solving 5 + -2w = -10 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 5 + -2w + w = -10 + -1w + w Combine like terms: -2w + w = -1w 5 + -1w = -10 + -1w + w Combine like terms: -1w + w = 0 5 + -1w = -10 + 0 5 + -1w = -10 Add '-5' to each side of the equation. 5 + -5 + -1w = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = -10 + -5 -1w = -10 + -5 Combine like terms: -10 + -5 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15
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