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Simplifying 3w + -4 + w + 8 = 7w + -5 Reorder the terms: -4 + 8 + 3w + w = 7w + -5 Combine like terms: -4 + 8 = 4 4 + 3w + w = 7w + -5 Combine like terms: 3w + w = 4w 4 + 4w = 7w + -5 Reorder the terms: 4 + 4w = -5 + 7w Solving 4 + 4w = -5 + 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. 4 + 4w + -7w = -5 + 7w + -7w Combine like terms: 4w + -7w = -3w 4 + -3w = -5 + 7w + -7w Combine like terms: 7w + -7w = 0 4 + -3w = -5 + 0 4 + -3w = -5 Add '-4' to each side of the equation. 4 + -4 + -3w = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = -5 + -4 -3w = -5 + -4 Combine like terms: -5 + -4 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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