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