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Simplifying -6(-4w + 4) + -5w = 4(w + -7) + -6 Reorder the terms: -6(4 + -4w) + -5w = 4(w + -7) + -6 (4 * -6 + -4w * -6) + -5w = 4(w + -7) + -6 (-24 + 24w) + -5w = 4(w + -7) + -6 Combine like terms: 24w + -5w = 19w -24 + 19w = 4(w + -7) + -6 Reorder the terms: -24 + 19w = 4(-7 + w) + -6 -24 + 19w = (-7 * 4 + w * 4) + -6 -24 + 19w = (-28 + 4w) + -6 Reorder the terms: -24 + 19w = -28 + -6 + 4w Combine like terms: -28 + -6 = -34 -24 + 19w = -34 + 4w Solving -24 + 19w = -34 + 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. -24 + 19w + -4w = -34 + 4w + -4w Combine like terms: 19w + -4w = 15w -24 + 15w = -34 + 4w + -4w Combine like terms: 4w + -4w = 0 -24 + 15w = -34 + 0 -24 + 15w = -34 Add '24' to each side of the equation. -24 + 24 + 15w = -34 + 24 Combine like terms: -24 + 24 = 0 0 + 15w = -34 + 24 15w = -34 + 24 Combine like terms: -34 + 24 = -10 15w = -10 Divide each side by '15'. w = -0.6666666667 Simplifying w = -0.6666666667
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