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Simplifying (w + -5) = 4w + -7 Reorder the terms: (-5 + w) = 4w + -7 Remove parenthesis around (-5 + w) -5 + w = 4w + -7 Reorder the terms: -5 + w = -7 + 4w Solving -5 + w = -7 + 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. -5 + w + -4w = -7 + 4w + -4w Combine like terms: w + -4w = -3w -5 + -3w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 -5 + -3w = -7 + 0 -5 + -3w = -7 Add '5' to each side of the equation. -5 + 5 + -3w = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -3w = -7 + 5 -3w = -7 + 5 Combine like terms: -7 + 5 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667
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