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Simplifying 3(4w + 2) + -10 = 8w + 7 + 2w Reorder the terms: 3(2 + 4w) + -10 = 8w + 7 + 2w (2 * 3 + 4w * 3) + -10 = 8w + 7 + 2w (6 + 12w) + -10 = 8w + 7 + 2w Reorder the terms: 6 + -10 + 12w = 8w + 7 + 2w Combine like terms: 6 + -10 = -4 -4 + 12w = 8w + 7 + 2w Reorder the terms: -4 + 12w = 7 + 8w + 2w Combine like terms: 8w + 2w = 10w -4 + 12w = 7 + 10w Solving -4 + 12w = 7 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -4 + 12w + -10w = 7 + 10w + -10w Combine like terms: 12w + -10w = 2w -4 + 2w = 7 + 10w + -10w Combine like terms: 10w + -10w = 0 -4 + 2w = 7 + 0 -4 + 2w = 7 Add '4' to each side of the equation. -4 + 4 + 2w = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 2w = 7 + 4 2w = 7 + 4 Combine like terms: 7 + 4 = 11 2w = 11 Divide each side by '2'. w = 5.5 Simplifying w = 5.5
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