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Simplifying 2w + -1 = 6w + 2 Reorder the terms: -1 + 2w = 6w + 2 Reorder the terms: -1 + 2w = 2 + 6w Solving -1 + 2w = 2 + 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. -1 + 2w + -6w = 2 + 6w + -6w Combine like terms: 2w + -6w = -4w -1 + -4w = 2 + 6w + -6w Combine like terms: 6w + -6w = 0 -1 + -4w = 2 + 0 -1 + -4w = 2 Add '1' to each side of the equation. -1 + 1 + -4w = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -4w = 2 + 1 -4w = 2 + 1 Combine like terms: 2 + 1 = 3 -4w = 3 Divide each side by '-4'. w = -0.75 Simplifying w = -0.75
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