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Simplifying 5(w + -4) + -6 = -6(-4w + 2) + -3w Reorder the terms: 5(-4 + w) + -6 = -6(-4w + 2) + -3w (-4 * 5 + w * 5) + -6 = -6(-4w + 2) + -3w (-20 + 5w) + -6 = -6(-4w + 2) + -3w Reorder the terms: -20 + -6 + 5w = -6(-4w + 2) + -3w Combine like terms: -20 + -6 = -26 -26 + 5w = -6(-4w + 2) + -3w Reorder the terms: -26 + 5w = -6(2 + -4w) + -3w -26 + 5w = (2 * -6 + -4w * -6) + -3w -26 + 5w = (-12 + 24w) + -3w Combine like terms: 24w + -3w = 21w -26 + 5w = -12 + 21w Solving -26 + 5w = -12 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -26 + 5w + -21w = -12 + 21w + -21w Combine like terms: 5w + -21w = -16w -26 + -16w = -12 + 21w + -21w Combine like terms: 21w + -21w = 0 -26 + -16w = -12 + 0 -26 + -16w = -12 Add '26' to each side of the equation. -26 + 26 + -16w = -12 + 26 Combine like terms: -26 + 26 = 0 0 + -16w = -12 + 26 -16w = -12 + 26 Combine like terms: -12 + 26 = 14 -16w = 14 Divide each side by '-16'. w = -0.875 Simplifying w = -0.875
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