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Simplifying 6(w + -1) = 7(3f + 5) Reorder the terms: 6(-1 + w) = 7(3f + 5) (-1 * 6 + w * 6) = 7(3f + 5) (-6 + 6w) = 7(3f + 5) Reorder the terms: -6 + 6w = 7(5 + 3f) -6 + 6w = (5 * 7 + 3f * 7) -6 + 6w = (35 + 21f) Solving -6 + 6w = 35 + 21f Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6w = 35 + 6 + 21f Combine like terms: -6 + 6 = 0 0 + 6w = 35 + 6 + 21f 6w = 35 + 6 + 21f Combine like terms: 35 + 6 = 41 6w = 41 + 21f Divide each side by '6'. w = 6.833333333 + 3.5f Simplifying w = 6.833333333 + 3.5f
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