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Simplifying 4(w + 7) + -5(w + 8) = 0 Reorder the terms: 4(7 + w) + -5(w + 8) = 0 (7 * 4 + w * 4) + -5(w + 8) = 0 (28 + 4w) + -5(w + 8) = 0 Reorder the terms: 28 + 4w + -5(8 + w) = 0 28 + 4w + (8 * -5 + w * -5) = 0 28 + 4w + (-40 + -5w) = 0 Reorder the terms: 28 + -40 + 4w + -5w = 0 Combine like terms: 28 + -40 = -12 -12 + 4w + -5w = 0 Combine like terms: 4w + -5w = -1w -12 + -1w = 0 Solving -12 + -1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1w = 0 + 12 -1w = 0 + 12 Combine like terms: 0 + 12 = 12 -1w = 12 Divide each side by '-1'. w = -12 Simplifying w = -12
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