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Simplifying -4(w + -8) + 10w = 53 Reorder the terms: -4(-8 + w) + 10w = 53 (-8 * -4 + w * -4) + 10w = 53 (32 + -4w) + 10w = 53 Combine like terms: -4w + 10w = 6w 32 + 6w = 53 Solving 32 + 6w = 53 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 = 53 + -32 Combine like terms: 32 + -32 = 0 0 + 6w = 53 + -32 6w = 53 + -32 Combine like terms: 53 + -32 = 21 6w = 21 Divide each side by '6'. w = 3.5 Simplifying w = 3.5
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