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Simplifying 8w + -5(w + 3) = 3(7w + -1) Reorder the terms: 8w + -5(3 + w) = 3(7w + -1) 8w + (3 * -5 + w * -5) = 3(7w + -1) 8w + (-15 + -5w) = 3(7w + -1) Reorder the terms: -15 + 8w + -5w = 3(7w + -1) Combine like terms: 8w + -5w = 3w -15 + 3w = 3(7w + -1) Reorder the terms: -15 + 3w = 3(-1 + 7w) -15 + 3w = (-1 * 3 + 7w * 3) -15 + 3w = (-3 + 21w) Solving -15 + 3w = -3 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -15 + 3w + -21w = -3 + 21w + -21w Combine like terms: 3w + -21w = -18w -15 + -18w = -3 + 21w + -21w Combine like terms: 21w + -21w = 0 -15 + -18w = -3 + 0 -15 + -18w = -3 Add '15' to each side of the equation. -15 + 15 + -18w = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -18w = -3 + 15 -18w = -3 + 15 Combine like terms: -3 + 15 = 12 -18w = 12 Divide each side by '-18'. w = -0.6666666667 Simplifying w = -0.6666666667
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