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Simplifying 6(w + -8) + 16 = 14 Reorder the terms: 6(-8 + w) + 16 = 14 (-8 * 6 + w * 6) + 16 = 14 (-48 + 6w) + 16 = 14 Reorder the terms: -48 + 16 + 6w = 14 Combine like terms: -48 + 16 = -32 -32 + 6w = 14 Solving -32 + 6w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 6w = 14 + 32 Combine like terms: -32 + 32 = 0 0 + 6w = 14 + 32 6w = 14 + 32 Combine like terms: 14 + 32 = 46 6w = 46 Divide each side by '6'. w = 7.666666667 Simplifying w = 7.666666667
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