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