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Simplifying -6w + -45 = 3(w + 6) Reorder the terms: -45 + -6w = 3(w + 6) Reorder the terms: -45 + -6w = 3(6 + w) -45 + -6w = (6 * 3 + w * 3) -45 + -6w = (18 + 3w) Solving -45 + -6w = 18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -45 + -6w + -3w = 18 + 3w + -3w Combine like terms: -6w + -3w = -9w -45 + -9w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 -45 + -9w = 18 + 0 -45 + -9w = 18 Add '45' to each side of the equation. -45 + 45 + -9w = 18 + 45 Combine like terms: -45 + 45 = 0 0 + -9w = 18 + 45 -9w = 18 + 45 Combine like terms: 18 + 45 = 63 -9w = 63 Divide each side by '-9'. w = -7 Simplifying w = -7
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