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Simplifying (6w + 4) + (-2w + 1) = 0 Reorder the terms: (4 + 6w) + (-2w + 1) = 0 Remove parenthesis around (4 + 6w) 4 + 6w + (-2w + 1) = 0 Reorder the terms: 4 + 6w + (1 + -2w) = 0 Remove parenthesis around (1 + -2w) 4 + 6w + 1 + -2w = 0 Reorder the terms: 4 + 1 + 6w + -2w = 0 Combine like terms: 4 + 1 = 5 5 + 6w + -2w = 0 Combine like terms: 6w + -2w = 4w 5 + 4w = 0 Solving 5 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4w = 0 + -5 4w = 0 + -5 Combine like terms: 0 + -5 = -5 4w = -5 Divide each side by '4'. w = -1.25 Simplifying w = -1.25
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