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Simplifying 4(w + -7) + -8 = -6(4w + 5) + -5w Reorder the terms: 4(-7 + w) + -8 = -6(4w + 5) + -5w (-7 * 4 + w * 4) + -8 = -6(4w + 5) + -5w (-28 + 4w) + -8 = -6(4w + 5) + -5w Reorder the terms: -28 + -8 + 4w = -6(4w + 5) + -5w Combine like terms: -28 + -8 = -36 -36 + 4w = -6(4w + 5) + -5w Reorder the terms: -36 + 4w = -6(5 + 4w) + -5w -36 + 4w = (5 * -6 + 4w * -6) + -5w -36 + 4w = (-30 + -24w) + -5w Combine like terms: -24w + -5w = -29w -36 + 4w = -30 + -29w Solving -36 + 4w = -30 + -29w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '29w' to each side of the equation. -36 + 4w + 29w = -30 + -29w + 29w Combine like terms: 4w + 29w = 33w -36 + 33w = -30 + -29w + 29w Combine like terms: -29w + 29w = 0 -36 + 33w = -30 + 0 -36 + 33w = -30 Add '36' to each side of the equation. -36 + 36 + 33w = -30 + 36 Combine like terms: -36 + 36 = 0 0 + 33w = -30 + 36 33w = -30 + 36 Combine like terms: -30 + 36 = 6 33w = 6 Divide each side by '33'. w = 0.1818181818 Simplifying w = 0.1818181818
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