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Simplifying 4w + -7 = 5 + 7w Reorder the terms: -7 + 4w = 5 + 7w Solving -7 + 4w = 5 + 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. -7 + 4w + -7w = 5 + 7w + -7w Combine like terms: 4w + -7w = -3w -7 + -3w = 5 + 7w + -7w Combine like terms: 7w + -7w = 0 -7 + -3w = 5 + 0 -7 + -3w = 5 Add '7' to each side of the equation. -7 + 7 + -3w = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 5 + 7 -3w = 5 + 7 Combine like terms: 5 + 7 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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