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Simplifying 4w + -5 = 7w + -17 Reorder the terms: -5 + 4w = 7w + -17 Reorder the terms: -5 + 4w = -17 + 7w Solving -5 + 4w = -17 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -5 + 4w + -7w = -17 + 7w + -7w Combine like terms: 4w + -7w = -3w -5 + -3w = -17 + 7w + -7w Combine like terms: 7w + -7w = 0 -5 + -3w = -17 + 0 -5 + -3w = -17 Add '5' to each side of the equation. -5 + 5 + -3w = -17 + 5 Combine like terms: -5 + 5 = 0 0 + -3w = -17 + 5 -3w = -17 + 5 Combine like terms: -17 + 5 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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