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Simplifying 13 + -1w = 7w + -3 Reorder the terms: 13 + -1w = -3 + 7w Solving 13 + -1w = -3 + 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. 13 + -1w + -7w = -3 + 7w + -7w Combine like terms: -1w + -7w = -8w 13 + -8w = -3 + 7w + -7w Combine like terms: 7w + -7w = 0 13 + -8w = -3 + 0 13 + -8w = -3 Add '-13' to each side of the equation. 13 + -13 + -8w = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -8w = -3 + -13 -8w = -3 + -13 Combine like terms: -3 + -13 = -16 -8w = -16 Divide each side by '-8'. w = 2 Simplifying w = 2
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