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Simplifying 5 + -3w + -7 = w + -7 Reorder the terms: 5 + -7 + -3w = w + -7 Combine like terms: 5 + -7 = -2 -2 + -3w = w + -7 Reorder the terms: -2 + -3w = -7 + w Solving -2 + -3w = -7 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -2 + -3w + -1w = -7 + w + -1w Combine like terms: -3w + -1w = -4w -2 + -4w = -7 + w + -1w Combine like terms: w + -1w = 0 -2 + -4w = -7 + 0 -2 + -4w = -7 Add '2' to each side of the equation. -2 + 2 + -4w = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -4w = -7 + 2 -4w = -7 + 2 Combine like terms: -7 + 2 = -5 -4w = -5 Divide each side by '-4'. w = 1.25 Simplifying w = 1.25
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