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Simplifying -1w + 2 = 6w + 3 Reorder the terms: 2 + -1w = 6w + 3 Reorder the terms: 2 + -1w = 3 + 6w Solving 2 + -1w = 3 + 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. 2 + -1w + -6w = 3 + 6w + -6w Combine like terms: -1w + -6w = -7w 2 + -7w = 3 + 6w + -6w Combine like terms: 6w + -6w = 0 2 + -7w = 3 + 0 2 + -7w = 3 Add '-2' to each side of the equation. 2 + -2 + -7w = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -7w = 3 + -2 -7w = 3 + -2 Combine like terms: 3 + -2 = 1 -7w = 1 Divide each side by '-7'. w = -0.1428571429 Simplifying w = -0.1428571429
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