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Simplifying 6(3w + -2) = 8(w + 1) Reorder the terms: 6(-2 + 3w) = 8(w + 1) (-2 * 6 + 3w * 6) = 8(w + 1) (-12 + 18w) = 8(w + 1) Reorder the terms: -12 + 18w = 8(1 + w) -12 + 18w = (1 * 8 + w * 8) -12 + 18w = (8 + 8w) Solving -12 + 18w = 8 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -12 + 18w + -8w = 8 + 8w + -8w Combine like terms: 18w + -8w = 10w -12 + 10w = 8 + 8w + -8w Combine like terms: 8w + -8w = 0 -12 + 10w = 8 + 0 -12 + 10w = 8 Add '12' to each side of the equation. -12 + 12 + 10w = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10w = 8 + 12 10w = 8 + 12 Combine like terms: 8 + 12 = 20 10w = 20 Divide each side by '10'. w = 2 Simplifying w = 2
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