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Simplifying 3w + -12 = 4w + -29 Reorder the terms: -12 + 3w = 4w + -29 Reorder the terms: -12 + 3w = -29 + 4w Solving -12 + 3w = -29 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -12 + 3w + -4w = -29 + 4w + -4w Combine like terms: 3w + -4w = -1w -12 + -1w = -29 + 4w + -4w Combine like terms: 4w + -4w = 0 -12 + -1w = -29 + 0 -12 + -1w = -29 Add '12' to each side of the equation. -12 + 12 + -1w = -29 + 12 Combine like terms: -12 + 12 = 0 0 + -1w = -29 + 12 -1w = -29 + 12 Combine like terms: -29 + 12 = -17 -1w = -17 Divide each side by '-1'. w = 17 Simplifying w = 17
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