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Simplifying -6(-4w + 9) + -8w = 7(w + -8) + -4 Reorder the terms: -6(9 + -4w) + -8w = 7(w + -8) + -4 (9 * -6 + -4w * -6) + -8w = 7(w + -8) + -4 (-54 + 24w) + -8w = 7(w + -8) + -4 Combine like terms: 24w + -8w = 16w -54 + 16w = 7(w + -8) + -4 Reorder the terms: -54 + 16w = 7(-8 + w) + -4 -54 + 16w = (-8 * 7 + w * 7) + -4 -54 + 16w = (-56 + 7w) + -4 Reorder the terms: -54 + 16w = -56 + -4 + 7w Combine like terms: -56 + -4 = -60 -54 + 16w = -60 + 7w Solving -54 + 16w = -60 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -54 + 16w + -7w = -60 + 7w + -7w Combine like terms: 16w + -7w = 9w -54 + 9w = -60 + 7w + -7w Combine like terms: 7w + -7w = 0 -54 + 9w = -60 + 0 -54 + 9w = -60 Add '54' to each side of the equation. -54 + 54 + 9w = -60 + 54 Combine like terms: -54 + 54 = 0 0 + 9w = -60 + 54 9w = -60 + 54 Combine like terms: -60 + 54 = -6 9w = -6 Divide each side by '9'. w = -0.6666666667 Simplifying w = -0.6666666667
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