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Simplifying 15 + -6w + 1 = w + -9 Reorder the terms: 15 + 1 + -6w = w + -9 Combine like terms: 15 + 1 = 16 16 + -6w = w + -9 Reorder the terms: 16 + -6w = -9 + w Solving 16 + -6w = -9 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 16 + -6w + -1w = -9 + w + -1w Combine like terms: -6w + -1w = -7w 16 + -7w = -9 + w + -1w Combine like terms: w + -1w = 0 16 + -7w = -9 + 0 16 + -7w = -9 Add '-16' to each side of the equation. 16 + -16 + -7w = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -7w = -9 + -16 -7w = -9 + -16 Combine like terms: -9 + -16 = -25 -7w = -25 Divide each side by '-7'. w = 3.571428571 Simplifying w = 3.571428571
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