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Simplifying 9w + -45 = 6(w + -3) Reorder the terms: -45 + 9w = 6(w + -3) Reorder the terms: -45 + 9w = 6(-3 + w) -45 + 9w = (-3 * 6 + w * 6) -45 + 9w = (-18 + 6w) Solving -45 + 9w = -18 + 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 + 9w + -6w = -18 + 6w + -6w Combine like terms: 9w + -6w = 3w -45 + 3w = -18 + 6w + -6w Combine like terms: 6w + -6w = 0 -45 + 3w = -18 + 0 -45 + 3w = -18 Add '45' to each side of the equation. -45 + 45 + 3w = -18 + 45 Combine like terms: -45 + 45 = 0 0 + 3w = -18 + 45 3w = -18 + 45 Combine like terms: -18 + 45 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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