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Simplifying -6w + 1 = 7w + 1 Reorder the terms: 1 + -6w = 7w + 1 Reorder the terms: 1 + -6w = 1 + 7w Add '-1' to each side of the equation. 1 + -1 + -6w = 1 + -1 + 7w Combine like terms: 1 + -1 = 0 0 + -6w = 1 + -1 + 7w -6w = 1 + -1 + 7w Combine like terms: 1 + -1 = 0 -6w = 0 + 7w -6w = 7w Solving -6w = 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. -6w + -7w = 7w + -7w Combine like terms: -6w + -7w = -13w -13w = 7w + -7w Combine like terms: 7w + -7w = 0 -13w = 0 Divide each side by '-13'. w = 0 Simplifying w = 0
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