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Simplifying 2(w + -9) = 8w + 30 Reorder the terms: 2(-9 + w) = 8w + 30 (-9 * 2 + w * 2) = 8w + 30 (-18 + 2w) = 8w + 30 Reorder the terms: -18 + 2w = 30 + 8w Solving -18 + 2w = 30 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -18 + 2w + -8w = 30 + 8w + -8w Combine like terms: 2w + -8w = -6w -18 + -6w = 30 + 8w + -8w Combine like terms: 8w + -8w = 0 -18 + -6w = 30 + 0 -18 + -6w = 30 Add '18' to each side of the equation. -18 + 18 + -6w = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -6w = 30 + 18 -6w = 30 + 18 Combine like terms: 30 + 18 = 48 -6w = 48 Divide each side by '-6'. w = -8 Simplifying w = -8
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