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Simplifying 9(w + -6) = 2w + 45 Reorder the terms: 9(-6 + w) = 2w + 45 (-6 * 9 + w * 9) = 2w + 45 (-54 + 9w) = 2w + 45 Reorder the terms: -54 + 9w = 45 + 2w Solving -54 + 9w = 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. -54 + 9w + -2w = 45 + 2w + -2w Combine like terms: 9w + -2w = 7w -54 + 7w = 45 + 2w + -2w Combine like terms: 2w + -2w = 0 -54 + 7w = 45 + 0 -54 + 7w = 45 Add '54' to each side of the equation. -54 + 54 + 7w = 45 + 54 Combine like terms: -54 + 54 = 0 0 + 7w = 45 + 54 7w = 45 + 54 Combine like terms: 45 + 54 = 99 7w = 99 Divide each side by '7'. w = 14.14285714 Simplifying w = 14.14285714
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