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Simplifying 4(4w + -9) = -17(5 + -1w) Reorder the terms: 4(-9 + 4w) = -17(5 + -1w) (-9 * 4 + 4w * 4) = -17(5 + -1w) (-36 + 16w) = -17(5 + -1w) -36 + 16w = (5 * -17 + -1w * -17) -36 + 16w = (-85 + 17w) Solving -36 + 16w = -85 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -36 + 16w + -17w = -85 + 17w + -17w Combine like terms: 16w + -17w = -1w -36 + -1w = -85 + 17w + -17w Combine like terms: 17w + -17w = 0 -36 + -1w = -85 + 0 -36 + -1w = -85 Add '36' to each side of the equation. -36 + 36 + -1w = -85 + 36 Combine like terms: -36 + 36 = 0 0 + -1w = -85 + 36 -1w = -85 + 36 Combine like terms: -85 + 36 = -49 -1w = -49 Divide each side by '-1'. w = 49 Simplifying w = 49
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