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Simplifying -5w + 45 = 6(w + 2) Reorder the terms: 45 + -5w = 6(w + 2) Reorder the terms: 45 + -5w = 6(2 + w) 45 + -5w = (2 * 6 + w * 6) 45 + -5w = (12 + 6w) Solving 45 + -5w = 12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 45 + -5w + -6w = 12 + 6w + -6w Combine like terms: -5w + -6w = -11w 45 + -11w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 45 + -11w = 12 + 0 45 + -11w = 12 Add '-45' to each side of the equation. 45 + -45 + -11w = 12 + -45 Combine like terms: 45 + -45 = 0 0 + -11w = 12 + -45 -11w = 12 + -45 Combine like terms: 12 + -45 = -33 -11w = -33 Divide each side by '-11'. w = 3 Simplifying w = 3
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