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Simplifying 6w + -7 = 4w + 21 Reorder the terms: -7 + 6w = 4w + 21 Reorder the terms: -7 + 6w = 21 + 4w Solving -7 + 6w = 21 + 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. -7 + 6w + -4w = 21 + 4w + -4w Combine like terms: 6w + -4w = 2w -7 + 2w = 21 + 4w + -4w Combine like terms: 4w + -4w = 0 -7 + 2w = 21 + 0 -7 + 2w = 21 Add '7' to each side of the equation. -7 + 7 + 2w = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 2w = 21 + 7 2w = 21 + 7 Combine like terms: 21 + 7 = 28 2w = 28 Divide each side by '2'. w = 14 Simplifying w = 14
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