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Simplifying 4w + -3 = 5 + -6w + -8 + 10 Reorder the terms: -3 + 4w = 5 + -6w + -8 + 10 Reorder the terms: -3 + 4w = 5 + -8 + 10 + -6w Combine like terms: 5 + -8 = -3 -3 + 4w = -3 + 10 + -6w Combine like terms: -3 + 10 = 7 -3 + 4w = 7 + -6w Solving -3 + 4w = 7 + -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. -3 + 4w + 6w = 7 + -6w + 6w Combine like terms: 4w + 6w = 10w -3 + 10w = 7 + -6w + 6w Combine like terms: -6w + 6w = 0 -3 + 10w = 7 + 0 -3 + 10w = 7 Add '3' to each side of the equation. -3 + 3 + 10w = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 10w = 7 + 3 10w = 7 + 3 Combine like terms: 7 + 3 = 10 10w = 10 Divide each side by '10'. w = 1 Simplifying w = 1
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