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Simplifying w + 1 = 3w + 6 Reorder the terms: 1 + w = 3w + 6 Reorder the terms: 1 + w = 6 + 3w Solving 1 + w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 1 + w + -3w = 6 + 3w + -3w Combine like terms: w + -3w = -2w 1 + -2w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 1 + -2w = 6 + 0 1 + -2w = 6 Add '-1' to each side of the equation. 1 + -1 + -2w = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = 6 + -1 -2w = 6 + -1 Combine like terms: 6 + -1 = 5 -2w = 5 Divide each side by '-2'. w = -2.5 Simplifying w = -2.5
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