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Simplifying 6w + -17 = 47 + 10w Reorder the terms: -17 + 6w = 47 + 10w Solving -17 + 6w = 47 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -17 + 6w + -10w = 47 + 10w + -10w Combine like terms: 6w + -10w = -4w -17 + -4w = 47 + 10w + -10w Combine like terms: 10w + -10w = 0 -17 + -4w = 47 + 0 -17 + -4w = 47 Add '17' to each side of the equation. -17 + 17 + -4w = 47 + 17 Combine like terms: -17 + 17 = 0 0 + -4w = 47 + 17 -4w = 47 + 17 Combine like terms: 47 + 17 = 64 -4w = 64 Divide each side by '-4'. w = -16 Simplifying w = -16
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