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Simplifying 2(w + -9) = 12w + 14 Reorder the terms: 2(-9 + w) = 12w + 14 (-9 * 2 + w * 2) = 12w + 14 (-18 + 2w) = 12w + 14 Reorder the terms: -18 + 2w = 14 + 12w Solving -18 + 2w = 14 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -18 + 2w + -12w = 14 + 12w + -12w Combine like terms: 2w + -12w = -10w -18 + -10w = 14 + 12w + -12w Combine like terms: 12w + -12w = 0 -18 + -10w = 14 + 0 -18 + -10w = 14 Add '18' to each side of the equation. -18 + 18 + -10w = 14 + 18 Combine like terms: -18 + 18 = 0 0 + -10w = 14 + 18 -10w = 14 + 18 Combine like terms: 14 + 18 = 32 -10w = 32 Divide each side by '-10'. w = -3.2 Simplifying w = -3.2
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