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Simplifying -6w + -45 = -9(w + 8) Reorder the terms: -45 + -6w = -9(w + 8) Reorder the terms: -45 + -6w = -9(8 + w) -45 + -6w = (8 * -9 + w * -9) -45 + -6w = (-72 + -9w) Solving -45 + -6w = -72 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -45 + -6w + 9w = -72 + -9w + 9w Combine like terms: -6w + 9w = 3w -45 + 3w = -72 + -9w + 9w Combine like terms: -9w + 9w = 0 -45 + 3w = -72 + 0 -45 + 3w = -72 Add '45' to each side of the equation. -45 + 45 + 3w = -72 + 45 Combine like terms: -45 + 45 = 0 0 + 3w = -72 + 45 3w = -72 + 45 Combine like terms: -72 + 45 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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