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Simplifying w + (2w + -4) + w + (2w + -4) = 46 Reorder the terms: w + (-4 + 2w) + w + (2w + -4) = 46 Remove parenthesis around (-4 + 2w) w + -4 + 2w + w + (2w + -4) = 46 Reorder the terms: w + -4 + 2w + w + (-4 + 2w) = 46 Remove parenthesis around (-4 + 2w) w + -4 + 2w + w + -4 + 2w = 46 Reorder the terms: -4 + -4 + w + 2w + w + 2w = 46 Combine like terms: -4 + -4 = -8 -8 + w + 2w + w + 2w = 46 Combine like terms: w + 2w = 3w -8 + 3w + w + 2w = 46 Combine like terms: 3w + w = 4w -8 + 4w + 2w = 46 Combine like terms: 4w + 2w = 6w -8 + 6w = 46 Solving -8 + 6w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6w = 46 + 8 Combine like terms: -8 + 8 = 0 0 + 6w = 46 + 8 6w = 46 + 8 Combine like terms: 46 + 8 = 54 6w = 54 Divide each side by '6'. w = 9 Simplifying w = 9
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