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Simplifying 3w + -8 = 7w Reorder the terms: -8 + 3w = 7w Solving -8 + 3w = 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. -8 + 3w + -7w = 7w + -7w Combine like terms: 3w + -7w = -4w -8 + -4w = 7w + -7w Combine like terms: 7w + -7w = 0 -8 + -4w = 0 Add '8' to each side of the equation. -8 + 8 + -4w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -4w = 0 + 8 -4w = 0 + 8 Combine like terms: 0 + 8 = 8 -4w = 8 Divide each side by '-4'. w = -2 Simplifying w = -2
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