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Simplifying -7w + 2 = 3w + -8 Reorder the terms: 2 + -7w = 3w + -8 Reorder the terms: 2 + -7w = -8 + 3w Solving 2 + -7w = -8 + 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. 2 + -7w + -3w = -8 + 3w + -3w Combine like terms: -7w + -3w = -10w 2 + -10w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 2 + -10w = -8 + 0 2 + -10w = -8 Add '-2' to each side of the equation. 2 + -2 + -10w = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -10w = -8 + -2 -10w = -8 + -2 Combine like terms: -8 + -2 = -10 -10w = -10 Divide each side by '-10'. w = 1 Simplifying w = 1
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