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Simplifying 2(w + -9) = -6w + 30 Reorder the terms: 2(-9 + w) = -6w + 30 (-9 * 2 + w * 2) = -6w + 30 (-18 + 2w) = -6w + 30 Reorder the terms: -18 + 2w = 30 + -6w Solving -18 + 2w = 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. -18 + 2w + 6w = 30 + -6w + 6w Combine like terms: 2w + 6w = 8w -18 + 8w = 30 + -6w + 6w Combine like terms: -6w + 6w = 0 -18 + 8w = 30 + 0 -18 + 8w = 30 Add '18' to each side of the equation. -18 + 18 + 8w = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 8w = 30 + 18 8w = 30 + 18 Combine like terms: 30 + 18 = 48 8w = 48 Divide each side by '8'. w = 6 Simplifying w = 6
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