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Simplifying 6w + 4(w + -7) = 32 Reorder the terms: 6w + 4(-7 + w) = 32 6w + (-7 * 4 + w * 4) = 32 6w + (-28 + 4w) = 32 Reorder the terms: -28 + 6w + 4w = 32 Combine like terms: 6w + 4w = 10w -28 + 10w = 32 Solving -28 + 10w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 10w = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 10w = 32 + 28 10w = 32 + 28 Combine like terms: 32 + 28 = 60 10w = 60 Divide each side by '10'. w = 6 Simplifying w = 6
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