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Simplifying 6w + 2 = -4 + -1w + 1 Reorder the terms: 2 + 6w = -4 + -1w + 1 Reorder the terms: 2 + 6w = -4 + 1 + -1w Combine like terms: -4 + 1 = -3 2 + 6w = -3 + -1w Solving 2 + 6w = -3 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 2 + 6w + w = -3 + -1w + w Combine like terms: 6w + w = 7w 2 + 7w = -3 + -1w + w Combine like terms: -1w + w = 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 = -5 7w = -5 Divide each side by '7'. w = -0.7142857143 Simplifying w = -0.7142857143
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