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Simplifying 8w + 5 = (2w + 1) Reorder the terms: 5 + 8w = (2w + 1) Reorder the terms: 5 + 8w = (1 + 2w) Remove parenthesis around (1 + 2w) 5 + 8w = 1 + 2w Solving 5 + 8w = 1 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 5 + 8w + -2w = 1 + 2w + -2w Combine like terms: 8w + -2w = 6w 5 + 6w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 5 + 6w = 1 + 0 5 + 6w = 1 Add '-5' to each side of the equation. 5 + -5 + 6w = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 6w = 1 + -5 6w = 1 + -5 Combine like terms: 1 + -5 = -4 6w = -4 Divide each side by '6'. w = -0.6666666667 Simplifying w = -0.6666666667
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