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Simplifying 2w + 21 = 6w + -7 Reorder the terms: 21 + 2w = 6w + -7 Reorder the terms: 21 + 2w = -7 + 6w Solving 21 + 2w = -7 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 21 + 2w + -6w = -7 + 6w + -6w Combine like terms: 2w + -6w = -4w 21 + -4w = -7 + 6w + -6w Combine like terms: 6w + -6w = 0 21 + -4w = -7 + 0 21 + -4w = -7 Add '-21' to each side of the equation. 21 + -21 + -4w = -7 + -21 Combine like terms: 21 + -21 = 0 0 + -4w = -7 + -21 -4w = -7 + -21 Combine like terms: -7 + -21 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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