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Simplifying 8(w + -5) + -1(9 + 4w) = 3w Reorder the terms: 8(-5 + w) + -1(9 + 4w) = 3w (-5 * 8 + w * 8) + -1(9 + 4w) = 3w (-40 + 8w) + -1(9 + 4w) = 3w -40 + 8w + (9 * -1 + 4w * -1) = 3w -40 + 8w + (-9 + -4w) = 3w Reorder the terms: -40 + -9 + 8w + -4w = 3w Combine like terms: -40 + -9 = -49 -49 + 8w + -4w = 3w Combine like terms: 8w + -4w = 4w -49 + 4w = 3w Solving -49 + 4w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -49 + 4w + -3w = 3w + -3w Combine like terms: 4w + -3w = 1w -49 + 1w = 3w + -3w Combine like terms: 3w + -3w = 0 -49 + 1w = 0 Add '49' to each side of the equation. -49 + 49 + 1w = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 1w = 0 + 49 1w = 0 + 49 Combine like terms: 0 + 49 = 49 1w = 49 Divide each side by '1'. w = 49 Simplifying w = 49
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