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Simplifying -2(w + 5) + -1(2w + -7) = -5w Reorder the terms: -2(5 + w) + -1(2w + -7) = -5w (5 * -2 + w * -2) + -1(2w + -7) = -5w (-10 + -2w) + -1(2w + -7) = -5w Reorder the terms: -10 + -2w + -1(-7 + 2w) = -5w -10 + -2w + (-7 * -1 + 2w * -1) = -5w -10 + -2w + (7 + -2w) = -5w Reorder the terms: -10 + 7 + -2w + -2w = -5w Combine like terms: -10 + 7 = -3 -3 + -2w + -2w = -5w Combine like terms: -2w + -2w = -4w -3 + -4w = -5w Solving -3 + -4w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -3 + -4w + 5w = -5w + 5w Combine like terms: -4w + 5w = 1w -3 + 1w = -5w + 5w Combine like terms: -5w + 5w = 0 -3 + 1w = 0 Add '3' to each side of the equation. -3 + 3 + 1w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = 0 + 3 1w = 0 + 3 Combine like terms: 0 + 3 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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