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Simplifying 5w + 2 = 6w + -2 Reorder the terms: 2 + 5w = 6w + -2 Reorder the terms: 2 + 5w = -2 + 6w Solving 2 + 5w = -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. 2 + 5w + -6w = -2 + 6w + -6w Combine like terms: 5w + -6w = -1w 2 + -1w = -2 + 6w + -6w Combine like terms: 6w + -6w = 0 2 + -1w = -2 + 0 2 + -1w = -2 Add '-2' to each side of the equation. 2 + -2 + -1w = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = -2 + -2 -1w = -2 + -2 Combine like terms: -2 + -2 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4
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