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