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Simplifying 5w + -10 = 6w + 9 Reorder the terms: -10 + 5w = 6w + 9 Reorder the terms: -10 + 5w = 9 + 6w Solving -10 + 5w = 9 + 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. -10 + 5w + -6w = 9 + 6w + -6w Combine like terms: 5w + -6w = -1w -10 + -1w = 9 + 6w + -6w Combine like terms: 6w + -6w = 0 -10 + -1w = 9 + 0 -10 + -1w = 9 Add '10' to each side of the equation. -10 + 10 + -1w = 9 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = 9 + 10 -1w = 9 + 10 Combine like terms: 9 + 10 = 19 -1w = 19 Divide each side by '-1'. w = -19 Simplifying w = -19
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