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Simplifying -4(-6w + 9) + -8w = 4(w + -9) + -3 Reorder the terms: -4(9 + -6w) + -8w = 4(w + -9) + -3 (9 * -4 + -6w * -4) + -8w = 4(w + -9) + -3 (-36 + 24w) + -8w = 4(w + -9) + -3 Combine like terms: 24w + -8w = 16w -36 + 16w = 4(w + -9) + -3 Reorder the terms: -36 + 16w = 4(-9 + w) + -3 -36 + 16w = (-9 * 4 + w * 4) + -3 -36 + 16w = (-36 + 4w) + -3 Reorder the terms: -36 + 16w = -36 + -3 + 4w Combine like terms: -36 + -3 = -39 -36 + 16w = -39 + 4w Solving -36 + 16w = -39 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -36 + 16w + -4w = -39 + 4w + -4w Combine like terms: 16w + -4w = 12w -36 + 12w = -39 + 4w + -4w Combine like terms: 4w + -4w = 0 -36 + 12w = -39 + 0 -36 + 12w = -39 Add '36' to each side of the equation. -36 + 36 + 12w = -39 + 36 Combine like terms: -36 + 36 = 0 0 + 12w = -39 + 36 12w = -39 + 36 Combine like terms: -39 + 36 = -3 12w = -3 Divide each side by '12'. w = -0.25 Simplifying w = -0.25
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