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Simplifying -1 + w = 3w + -7 Reorder the terms: -1 + w = -7 + 3w Solving -1 + w = -7 + 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. -1 + w + -3w = -7 + 3w + -3w Combine like terms: w + -3w = -2w -1 + -2w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 -1 + -2w = -7 + 0 -1 + -2w = -7 Add '1' to each side of the equation. -1 + 1 + -2w = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -2w = -7 + 1 -2w = -7 + 1 Combine like terms: -7 + 1 = -6 -2w = -6 Divide each side by '-2'. w = 3 Simplifying w = 3
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