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Simplifying -9w + -45 = 6(w + 5) Reorder the terms: -45 + -9w = 6(w + 5) Reorder the terms: -45 + -9w = 6(5 + w) -45 + -9w = (5 * 6 + w * 6) -45 + -9w = (30 + 6w) Solving -45 + -9w = 30 + 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 = 30 + 6w + -6w Combine like terms: -9w + -6w = -15w -45 + -15w = 30 + 6w + -6w Combine like terms: 6w + -6w = 0 -45 + -15w = 30 + 0 -45 + -15w = 30 Add '45' to each side of the equation. -45 + 45 + -15w = 30 + 45 Combine like terms: -45 + 45 = 0 0 + -15w = 30 + 45 -15w = 30 + 45 Combine like terms: 30 + 45 = 75 -15w = 75 Divide each side by '-15'. w = -5 Simplifying w = -5
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