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