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Simplifying 7(w + -2) = 6(3 + w) Reorder the terms: 7(-2 + w) = 6(3 + w) (-2 * 7 + w * 7) = 6(3 + w) (-14 + 7w) = 6(3 + w) -14 + 7w = (3 * 6 + w * 6) -14 + 7w = (18 + 6w) Solving -14 + 7w = 18 + 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 = 18 + 6w + -6w Combine like terms: 7w + -6w = 1w -14 + 1w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 -14 + 1w = 18 + 0 -14 + 1w = 18 Add '14' to each side of the equation. -14 + 14 + 1w = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 1w = 18 + 14 1w = 18 + 14 Combine like terms: 18 + 14 = 32 1w = 32 Divide each side by '1'. w = 32 Simplifying w = 32
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