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Simplifying -7 + 3w = 4w + -8 Reorder the terms: -7 + 3w = -8 + 4w Solving -7 + 3w = -8 + 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. -7 + 3w + -4w = -8 + 4w + -4w Combine like terms: 3w + -4w = -1w -7 + -1w = -8 + 4w + -4w Combine like terms: 4w + -4w = 0 -7 + -1w = -8 + 0 -7 + -1w = -8 Add '7' to each side of the equation. -7 + 7 + -1w = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = -8 + 7 -1w = -8 + 7 Combine like terms: -8 + 7 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1
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