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Simplifying -5w + -4 = 4(w + -7) Reorder the terms: -4 + -5w = 4(w + -7) Reorder the terms: -4 + -5w = 4(-7 + w) -4 + -5w = (-7 * 4 + w * 4) -4 + -5w = (-28 + 4w) Solving -4 + -5w = -28 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -4 + -5w + -4w = -28 + 4w + -4w Combine like terms: -5w + -4w = -9w -4 + -9w = -28 + 4w + -4w Combine like terms: 4w + -4w = 0 -4 + -9w = -28 + 0 -4 + -9w = -28 Add '4' to each side of the equation. -4 + 4 + -9w = -28 + 4 Combine like terms: -4 + 4 = 0 0 + -9w = -28 + 4 -9w = -28 + 4 Combine like terms: -28 + 4 = -24 -9w = -24 Divide each side by '-9'. w = 2.666666667 Simplifying w = 2.666666667
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