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Simplifying 8w + 6(w + -3) = 5 + -1(4w + 3) Reorder the terms: 8w + 6(-3 + w) = 5 + -1(4w + 3) 8w + (-3 * 6 + w * 6) = 5 + -1(4w + 3) 8w + (-18 + 6w) = 5 + -1(4w + 3) Reorder the terms: -18 + 8w + 6w = 5 + -1(4w + 3) Combine like terms: 8w + 6w = 14w -18 + 14w = 5 + -1(4w + 3) Reorder the terms: -18 + 14w = 5 + -1(3 + 4w) -18 + 14w = 5 + (3 * -1 + 4w * -1) -18 + 14w = 5 + (-3 + -4w) Combine like terms: 5 + -3 = 2 -18 + 14w = 2 + -4w Solving -18 + 14w = 2 + -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. -18 + 14w + 4w = 2 + -4w + 4w Combine like terms: 14w + 4w = 18w -18 + 18w = 2 + -4w + 4w Combine like terms: -4w + 4w = 0 -18 + 18w = 2 + 0 -18 + 18w = 2 Add '18' to each side of the equation. -18 + 18 + 18w = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 18w = 2 + 18 18w = 2 + 18 Combine like terms: 2 + 18 = 20 18w = 20 Divide each side by '18'. w = 1.111111111 Simplifying w = 1.111111111
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