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Simplifying -3(6w + -3) + 4w = 8 + 2(2w + -7) Reorder the terms: -3(-3 + 6w) + 4w = 8 + 2(2w + -7) (-3 * -3 + 6w * -3) + 4w = 8 + 2(2w + -7) (9 + -18w) + 4w = 8 + 2(2w + -7) Combine like terms: -18w + 4w = -14w 9 + -14w = 8 + 2(2w + -7) Reorder the terms: 9 + -14w = 8 + 2(-7 + 2w) 9 + -14w = 8 + (-7 * 2 + 2w * 2) 9 + -14w = 8 + (-14 + 4w) Combine like terms: 8 + -14 = -6 9 + -14w = -6 + 4w Solving 9 + -14w = -6 + 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. 9 + -14w + -4w = -6 + 4w + -4w Combine like terms: -14w + -4w = -18w 9 + -18w = -6 + 4w + -4w Combine like terms: 4w + -4w = 0 9 + -18w = -6 + 0 9 + -18w = -6 Add '-9' to each side of the equation. 9 + -9 + -18w = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -18w = -6 + -9 -18w = -6 + -9 Combine like terms: -6 + -9 = -15 -18w = -15 Divide each side by '-18'. w = 0.8333333333 Simplifying w = 0.8333333333
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