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Simplifying 5w + -40 = 9(w + -4) Reorder the terms: -40 + 5w = 9(w + -4) Reorder the terms: -40 + 5w = 9(-4 + w) -40 + 5w = (-4 * 9 + w * 9) -40 + 5w = (-36 + 9w) Solving -40 + 5w = -36 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -40 + 5w + -9w = -36 + 9w + -9w Combine like terms: 5w + -9w = -4w -40 + -4w = -36 + 9w + -9w Combine like terms: 9w + -9w = 0 -40 + -4w = -36 + 0 -40 + -4w = -36 Add '40' to each side of the equation. -40 + 40 + -4w = -36 + 40 Combine like terms: -40 + 40 = 0 0 + -4w = -36 + 40 -4w = -36 + 40 Combine like terms: -36 + 40 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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