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Simplifying 4(w + -5) + -6 = -4(-4w + 9) + -6w Reorder the terms: 4(-5 + w) + -6 = -4(-4w + 9) + -6w (-5 * 4 + w * 4) + -6 = -4(-4w + 9) + -6w (-20 + 4w) + -6 = -4(-4w + 9) + -6w Reorder the terms: -20 + -6 + 4w = -4(-4w + 9) + -6w Combine like terms: -20 + -6 = -26 -26 + 4w = -4(-4w + 9) + -6w Reorder the terms: -26 + 4w = -4(9 + -4w) + -6w -26 + 4w = (9 * -4 + -4w * -4) + -6w -26 + 4w = (-36 + 16w) + -6w Combine like terms: 16w + -6w = 10w -26 + 4w = -36 + 10w Solving -26 + 4w = -36 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -26 + 4w + -10w = -36 + 10w + -10w Combine like terms: 4w + -10w = -6w -26 + -6w = -36 + 10w + -10w Combine like terms: 10w + -10w = 0 -26 + -6w = -36 + 0 -26 + -6w = -36 Add '26' to each side of the equation. -26 + 26 + -6w = -36 + 26 Combine like terms: -26 + 26 = 0 0 + -6w = -36 + 26 -6w = -36 + 26 Combine like terms: -36 + 26 = -10 -6w = -10 Divide each side by '-6'. w = 1.666666667 Simplifying w = 1.666666667
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