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Simplifying 7(2 + w) = 6(w + -4) (2 * 7 + w * 7) = 6(w + -4) (14 + 7w) = 6(w + -4) Reorder the terms: 14 + 7w = 6(-4 + w) 14 + 7w = (-4 * 6 + w * 6) 14 + 7w = (-24 + 6w) Solving 14 + 7w = -24 + 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. 14 + 7w + -6w = -24 + 6w + -6w Combine like terms: 7w + -6w = 1w 14 + 1w = -24 + 6w + -6w Combine like terms: 6w + -6w = 0 14 + 1w = -24 + 0 14 + 1w = -24 Add '-14' to each side of the equation. 14 + -14 + 1w = -24 + -14 Combine like terms: 14 + -14 = 0 0 + 1w = -24 + -14 1w = -24 + -14 Combine like terms: -24 + -14 = -38 1w = -38 Divide each side by '1'. w = -38 Simplifying w = -38
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