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Simplifying 43 = 7w + -15 + -1w Reorder the terms: 43 = -15 + 7w + -1w Combine like terms: 7w + -1w = 6w 43 = -15 + 6w Solving 43 = -15 + 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. 43 + -6w = -15 + 6w + -6w Combine like terms: 6w + -6w = 0 43 + -6w = -15 + 0 43 + -6w = -15 Add '-43' to each side of the equation. 43 + -43 + -6w = -15 + -43 Combine like terms: 43 + -43 = 0 0 + -6w = -15 + -43 -6w = -15 + -43 Combine like terms: -15 + -43 = -58 -6w = -58 Divide each side by '-6'. w = 9.666666667 Simplifying w = 9.666666667
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