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Simplifying 6(w + -3) = 2w + 14 Reorder the terms: 6(-3 + w) = 2w + 14 (-3 * 6 + w * 6) = 2w + 14 (-18 + 6w) = 2w + 14 Reorder the terms: -18 + 6w = 14 + 2w Solving -18 + 6w = 14 + 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 + 6w + -2w = 14 + 2w + -2w Combine like terms: 6w + -2w = 4w -18 + 4w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 -18 + 4w = 14 + 0 -18 + 4w = 14 Add '18' to each side of the equation. -18 + 18 + 4w = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 4w = 14 + 18 4w = 14 + 18 Combine like terms: 14 + 18 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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