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Simplifying 4(w + -9) + -7 = -5(-4w + 9) + -4w Reorder the terms: 4(-9 + w) + -7 = -5(-4w + 9) + -4w (-9 * 4 + w * 4) + -7 = -5(-4w + 9) + -4w (-36 + 4w) + -7 = -5(-4w + 9) + -4w Reorder the terms: -36 + -7 + 4w = -5(-4w + 9) + -4w Combine like terms: -36 + -7 = -43 -43 + 4w = -5(-4w + 9) + -4w Reorder the terms: -43 + 4w = -5(9 + -4w) + -4w -43 + 4w = (9 * -5 + -4w * -5) + -4w -43 + 4w = (-45 + 20w) + -4w Combine like terms: 20w + -4w = 16w -43 + 4w = -45 + 16w Solving -43 + 4w = -45 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -43 + 4w + -16w = -45 + 16w + -16w Combine like terms: 4w + -16w = -12w -43 + -12w = -45 + 16w + -16w Combine like terms: 16w + -16w = 0 -43 + -12w = -45 + 0 -43 + -12w = -45 Add '43' to each side of the equation. -43 + 43 + -12w = -45 + 43 Combine like terms: -43 + 43 = 0 0 + -12w = -45 + 43 -12w = -45 + 43 Combine like terms: -45 + 43 = -2 -12w = -2 Divide each side by '-12'. w = 0.1666666667 Simplifying w = 0.1666666667
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