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Simplifying 4(w + -9) + -6 = -4(-6w + 6) + -4w Reorder the terms: 4(-9 + w) + -6 = -4(-6w + 6) + -4w (-9 * 4 + w * 4) + -6 = -4(-6w + 6) + -4w (-36 + 4w) + -6 = -4(-6w + 6) + -4w Reorder the terms: -36 + -6 + 4w = -4(-6w + 6) + -4w Combine like terms: -36 + -6 = -42 -42 + 4w = -4(-6w + 6) + -4w Reorder the terms: -42 + 4w = -4(6 + -6w) + -4w -42 + 4w = (6 * -4 + -6w * -4) + -4w -42 + 4w = (-24 + 24w) + -4w Combine like terms: 24w + -4w = 20w -42 + 4w = -24 + 20w Solving -42 + 4w = -24 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -42 + 4w + -20w = -24 + 20w + -20w Combine like terms: 4w + -20w = -16w -42 + -16w = -24 + 20w + -20w Combine like terms: 20w + -20w = 0 -42 + -16w = -24 + 0 -42 + -16w = -24 Add '42' to each side of the equation. -42 + 42 + -16w = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -16w = -24 + 42 -16w = -24 + 42 Combine like terms: -24 + 42 = 18 -16w = 18 Divide each side by '-16'. w = -1.125 Simplifying w = -1.125
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