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Simplifying 3(w + -6) = 2(w + -8) Reorder the terms: 3(-6 + w) = 2(w + -8) (-6 * 3 + w * 3) = 2(w + -8) (-18 + 3w) = 2(w + -8) Reorder the terms: -18 + 3w = 2(-8 + w) -18 + 3w = (-8 * 2 + w * 2) -18 + 3w = (-16 + 2w) Solving -18 + 3w = -16 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -18 + 3w + -2w = -16 + 2w + -2w Combine like terms: 3w + -2w = 1w -18 + 1w = -16 + 2w + -2w Combine like terms: 2w + -2w = 0 -18 + 1w = -16 + 0 -18 + 1w = -16 Add '18' to each side of the equation. -18 + 18 + 1w = -16 + 18 Combine like terms: -18 + 18 = 0 0 + 1w = -16 + 18 1w = -16 + 18 Combine like terms: -16 + 18 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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