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Simplifying 22 = (3w + 7) * 2 Reorder the terms: 22 = (7 + 3w) * 2 Reorder the terms for easier multiplication: 22 = 2(7 + 3w) 22 = (7 * 2 + 3w * 2) 22 = (14 + 6w) Solving 22 = 14 + 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. 22 + -6w = 14 + 6w + -6w Combine like terms: 6w + -6w = 0 22 + -6w = 14 + 0 22 + -6w = 14 Add '-22' to each side of the equation. 22 + -22 + -6w = 14 + -22 Combine like terms: 22 + -22 = 0 0 + -6w = 14 + -22 -6w = 14 + -22 Combine like terms: 14 + -22 = -8 -6w = -8 Divide each side by '-6'. w = 1.333333333 Simplifying w = 1.333333333
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