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Simplifying -3w + 12 + 6 = 7w + 30 Reorder the terms: 12 + 6 + -3w = 7w + 30 Combine like terms: 12 + 6 = 18 18 + -3w = 7w + 30 Reorder the terms: 18 + -3w = 30 + 7w Solving 18 + -3w = 30 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 18 + -3w + -7w = 30 + 7w + -7w Combine like terms: -3w + -7w = -10w 18 + -10w = 30 + 7w + -7w Combine like terms: 7w + -7w = 0 18 + -10w = 30 + 0 18 + -10w = 30 Add '-18' to each side of the equation. 18 + -18 + -10w = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -10w = 30 + -18 -10w = 30 + -18 Combine like terms: 30 + -18 = 12 -10w = 12 Divide each side by '-10'. w = -1.2 Simplifying w = -1.2
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