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Simplifying 7(1 + w) = 6(w + -6) (1 * 7 + w * 7) = 6(w + -6) (7 + 7w) = 6(w + -6) Reorder the terms: 7 + 7w = 6(-6 + w) 7 + 7w = (-6 * 6 + w * 6) 7 + 7w = (-36 + 6w) Solving 7 + 7w = -36 + 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. 7 + 7w + -6w = -36 + 6w + -6w Combine like terms: 7w + -6w = 1w 7 + 1w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 7 + 1w = -36 + 0 7 + 1w = -36 Add '-7' to each side of the equation. 7 + -7 + 1w = -36 + -7 Combine like terms: 7 + -7 = 0 0 + 1w = -36 + -7 1w = -36 + -7 Combine like terms: -36 + -7 = -43 1w = -43 Divide each side by '1'. w = -43 Simplifying w = -43
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