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Simplifying 7w + -13 = 3w + -1 Reorder the terms: -13 + 7w = 3w + -1 Reorder the terms: -13 + 7w = -1 + 3w Solving -13 + 7w = -1 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -13 + 7w + -3w = -1 + 3w + -3w Combine like terms: 7w + -3w = 4w -13 + 4w = -1 + 3w + -3w Combine like terms: 3w + -3w = 0 -13 + 4w = -1 + 0 -13 + 4w = -1 Add '13' to each side of the equation. -13 + 13 + 4w = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 4w = -1 + 13 4w = -1 + 13 Combine like terms: -1 + 13 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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