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Simplifying 3w + -3(w + -6) = 8(w + -2) Reorder the terms: 3w + -3(-6 + w) = 8(w + -2) 3w + (-6 * -3 + w * -3) = 8(w + -2) 3w + (18 + -3w) = 8(w + -2) Reorder the terms: 18 + 3w + -3w = 8(w + -2) Combine like terms: 3w + -3w = 0 18 + 0 = 8(w + -2) 18 = 8(w + -2) Reorder the terms: 18 = 8(-2 + w) 18 = (-2 * 8 + w * 8) 18 = (-16 + 8w) Solving 18 = -16 + 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. 18 + -8w = -16 + 8w + -8w Combine like terms: 8w + -8w = 0 18 + -8w = -16 + 0 18 + -8w = -16 Add '-18' to each side of the equation. 18 + -18 + -8w = -16 + -18 Combine like terms: 18 + -18 = 0 0 + -8w = -16 + -18 -8w = -16 + -18 Combine like terms: -16 + -18 = -34 -8w = -34 Divide each side by '-8'. w = 4.25 Simplifying w = 4.25
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