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