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Simplifying -4(w + -3) + -5(w + 8) = 0 Reorder the terms: -4(-3 + w) + -5(w + 8) = 0 (-3 * -4 + w * -4) + -5(w + 8) = 0 (12 + -4w) + -5(w + 8) = 0 Reorder the terms: 12 + -4w + -5(8 + w) = 0 12 + -4w + (8 * -5 + w * -5) = 0 12 + -4w + (-40 + -5w) = 0 Reorder the terms: 12 + -40 + -4w + -5w = 0 Combine like terms: 12 + -40 = -28 -28 + -4w + -5w = 0 Combine like terms: -4w + -5w = -9w -28 + -9w = 0 Solving -28 + -9w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -9w = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -9w = 0 + 28 -9w = 0 + 28 Combine like terms: 0 + 28 = 28 -9w = 28 Divide each side by '-9'. w = -3.111111111 Simplifying w = -3.111111111
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