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Simplifying -3w + -18 = 6(w + -6) Reorder the terms: -18 + -3w = 6(w + -6) Reorder the terms: -18 + -3w = 6(-6 + w) -18 + -3w = (-6 * 6 + w * 6) -18 + -3w = (-36 + 6w) Solving -18 + -3w = -36 + 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. -18 + -3w + -6w = -36 + 6w + -6w Combine like terms: -3w + -6w = -9w -18 + -9w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 -18 + -9w = -36 + 0 -18 + -9w = -36 Add '18' to each side of the equation. -18 + 18 + -9w = -36 + 18 Combine like terms: -18 + 18 = 0 0 + -9w = -36 + 18 -9w = -36 + 18 Combine like terms: -36 + 18 = -18 -9w = -18 Divide each side by '-9'. w = 2 Simplifying w = 2
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