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Simplifying -9(w + -5) = -2w + -4 Reorder the terms: -9(-5 + w) = -2w + -4 (-5 * -9 + w * -9) = -2w + -4 (45 + -9w) = -2w + -4 Reorder the terms: 45 + -9w = -4 + -2w Solving 45 + -9w = -4 + -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. 45 + -9w + 2w = -4 + -2w + 2w Combine like terms: -9w + 2w = -7w 45 + -7w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 45 + -7w = -4 + 0 45 + -7w = -4 Add '-45' to each side of the equation. 45 + -45 + -7w = -4 + -45 Combine like terms: 45 + -45 = 0 0 + -7w = -4 + -45 -7w = -4 + -45 Combine like terms: -4 + -45 = -49 -7w = -49 Divide each side by '-7'. w = 7 Simplifying w = 7
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