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Simplifying 1 + -7w = 6w + -9 Reorder the terms: 1 + -7w = -9 + 6w Solving 1 + -7w = -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. 1 + -7w + -6w = -9 + 6w + -6w Combine like terms: -7w + -6w = -13w 1 + -13w = -9 + 6w + -6w Combine like terms: 6w + -6w = 0 1 + -13w = -9 + 0 1 + -13w = -9 Add '-1' to each side of the equation. 1 + -1 + -13w = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -13w = -9 + -1 -13w = -9 + -1 Combine like terms: -9 + -1 = -10 -13w = -10 Divide each side by '-13'. w = 0.7692307692 Simplifying w = 0.7692307692
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