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Simplifying 5w + -3 = 6w + 5 Reorder the terms: -3 + 5w = 6w + 5 Reorder the terms: -3 + 5w = 5 + 6w Solving -3 + 5w = 5 + 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. -3 + 5w + -6w = 5 + 6w + -6w Combine like terms: 5w + -6w = -1w -3 + -1w = 5 + 6w + -6w Combine like terms: 6w + -6w = 0 -3 + -1w = 5 + 0 -3 + -1w = 5 Add '3' to each side of the equation. -3 + 3 + -1w = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 5 + 3 -1w = 5 + 3 Combine like terms: 5 + 3 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8
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