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Simplifying 7(w + -5) = 2w + -45 Reorder the terms: 7(-5 + w) = 2w + -45 (-5 * 7 + w * 7) = 2w + -45 (-35 + 7w) = 2w + -45 Reorder the terms: -35 + 7w = -45 + 2w Solving -35 + 7w = -45 + 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. -35 + 7w + -2w = -45 + 2w + -2w Combine like terms: 7w + -2w = 5w -35 + 5w = -45 + 2w + -2w Combine like terms: 2w + -2w = 0 -35 + 5w = -45 + 0 -35 + 5w = -45 Add '35' to each side of the equation. -35 + 35 + 5w = -45 + 35 Combine like terms: -35 + 35 = 0 0 + 5w = -45 + 35 5w = -45 + 35 Combine like terms: -45 + 35 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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