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Simplifying 34 = 2w + 2(2w) + 6 Remove parenthesis around (2w) 34 = 2w + 2 * 2w + 6 Multiply 2 * 2 34 = 2w + 4w + 6 Reorder the terms: 34 = 6 + 2w + 4w Combine like terms: 2w + 4w = 6w 34 = 6 + 6w Solving 34 = 6 + 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. 34 + -6w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 34 + -6w = 6 + 0 34 + -6w = 6 Add '-34' to each side of the equation. 34 + -34 + -6w = 6 + -34 Combine like terms: 34 + -34 = 0 0 + -6w = 6 + -34 -6w = 6 + -34 Combine like terms: 6 + -34 = -28 -6w = -28 Divide each side by '-6'. w = 4.666666667 Simplifying w = 4.666666667
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