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Simplifying 2(7w + -7) + 2w = 4(w + 8) Reorder the terms: 2(-7 + 7w) + 2w = 4(w + 8) (-7 * 2 + 7w * 2) + 2w = 4(w + 8) (-14 + 14w) + 2w = 4(w + 8) Combine like terms: 14w + 2w = 16w -14 + 16w = 4(w + 8) Reorder the terms: -14 + 16w = 4(8 + w) -14 + 16w = (8 * 4 + w * 4) -14 + 16w = (32 + 4w) Solving -14 + 16w = 32 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -14 + 16w + -4w = 32 + 4w + -4w Combine like terms: 16w + -4w = 12w -14 + 12w = 32 + 4w + -4w Combine like terms: 4w + -4w = 0 -14 + 12w = 32 + 0 -14 + 12w = 32 Add '14' to each side of the equation. -14 + 14 + 12w = 32 + 14 Combine like terms: -14 + 14 = 0 0 + 12w = 32 + 14 12w = 32 + 14 Combine like terms: 32 + 14 = 46 12w = 46 Divide each side by '12'. w = 3.833333333 Simplifying w = 3.833333333
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