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Simplifying 4(w + -5) + -7w = 0 Reorder the terms: 4(-5 + w) + -7w = 0 (-5 * 4 + w * 4) + -7w = 0 (-20 + 4w) + -7w = 0 Combine like terms: 4w + -7w = -3w -20 + -3w = 0 Solving -20 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3w = 0 + 20 -3w = 0 + 20 Combine like terms: 0 + 20 = 20 -3w = 20 Divide each side by '-3'. w = -6.666666667 Simplifying w = -6.666666667
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