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Simplifying 10w + -40 = 6w + 32 Reorder the terms: -40 + 10w = 6w + 32 Reorder the terms: -40 + 10w = 32 + 6w Solving -40 + 10w = 32 + 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. -40 + 10w + -6w = 32 + 6w + -6w Combine like terms: 10w + -6w = 4w -40 + 4w = 32 + 6w + -6w Combine like terms: 6w + -6w = 0 -40 + 4w = 32 + 0 -40 + 4w = 32 Add '40' to each side of the equation. -40 + 40 + 4w = 32 + 40 Combine like terms: -40 + 40 = 0 0 + 4w = 32 + 40 4w = 32 + 40 Combine like terms: 32 + 40 = 72 4w = 72 Divide each side by '4'. w = 18 Simplifying w = 18
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