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Simplifying 3w + 21 = 6(w + 7) Reorder the terms: 21 + 3w = 6(w + 7) Reorder the terms: 21 + 3w = 6(7 + w) 21 + 3w = (7 * 6 + w * 6) 21 + 3w = (42 + 6w) Solving 21 + 3w = 42 + 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 + 3w + -6w = 42 + 6w + -6w Combine like terms: 3w + -6w = -3w 21 + -3w = 42 + 6w + -6w Combine like terms: 6w + -6w = 0 21 + -3w = 42 + 0 21 + -3w = 42 Add '-21' to each side of the equation. 21 + -21 + -3w = 42 + -21 Combine like terms: 21 + -21 = 0 0 + -3w = 42 + -21 -3w = 42 + -21 Combine like terms: 42 + -21 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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