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Simplifying 7 + 3(2w + -1) = -2(8w + -9) + 6w Reorder the terms: 7 + 3(-1 + 2w) = -2(8w + -9) + 6w 7 + (-1 * 3 + 2w * 3) = -2(8w + -9) + 6w 7 + (-3 + 6w) = -2(8w + -9) + 6w Combine like terms: 7 + -3 = 4 4 + 6w = -2(8w + -9) + 6w Reorder the terms: 4 + 6w = -2(-9 + 8w) + 6w 4 + 6w = (-9 * -2 + 8w * -2) + 6w 4 + 6w = (18 + -16w) + 6w Combine like terms: -16w + 6w = -10w 4 + 6w = 18 + -10w Solving 4 + 6w = 18 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 4 + 6w + 10w = 18 + -10w + 10w Combine like terms: 6w + 10w = 16w 4 + 16w = 18 + -10w + 10w Combine like terms: -10w + 10w = 0 4 + 16w = 18 + 0 4 + 16w = 18 Add '-4' to each side of the equation. 4 + -4 + 16w = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 16w = 18 + -4 16w = 18 + -4 Combine like terms: 18 + -4 = 14 16w = 14 Divide each side by '16'. w = 0.875 Simplifying w = 0.875
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