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Simplifying -5(w + 9) = 2w + -38 Reorder the terms: -5(9 + w) = 2w + -38 (9 * -5 + w * -5) = 2w + -38 (-45 + -5w) = 2w + -38 Reorder the terms: -45 + -5w = -38 + 2w Solving -45 + -5w = -38 + 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 + -5w + -2w = -38 + 2w + -2w Combine like terms: -5w + -2w = -7w -45 + -7w = -38 + 2w + -2w Combine like terms: 2w + -2w = 0 -45 + -7w = -38 + 0 -45 + -7w = -38 Add '45' to each side of the equation. -45 + 45 + -7w = -38 + 45 Combine like terms: -45 + 45 = 0 0 + -7w = -38 + 45 -7w = -38 + 45 Combine like terms: -38 + 45 = 7 -7w = 7 Divide each side by '-7'. w = -1 Simplifying w = -1
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