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Simplifying 10w + -4 = 15 + 6w + -7 Reorder the terms: -4 + 10w = 15 + 6w + -7 Reorder the terms: -4 + 10w = 15 + -7 + 6w Combine like terms: 15 + -7 = 8 -4 + 10w = 8 + 6w Solving -4 + 10w = 8 + 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. -4 + 10w + -6w = 8 + 6w + -6w Combine like terms: 10w + -6w = 4w -4 + 4w = 8 + 6w + -6w Combine like terms: 6w + -6w = 0 -4 + 4w = 8 + 0 -4 + 4w = 8 Add '4' to each side of the equation. -4 + 4 + 4w = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4w = 8 + 4 4w = 8 + 4 Combine like terms: 8 + 4 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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