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Simplifying -7w + -2 = -6w + -8 Reorder the terms: -2 + -7w = -6w + -8 Reorder the terms: -2 + -7w = -8 + -6w Solving -2 + -7w = -8 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -2 + -7w + 6w = -8 + -6w + 6w Combine like terms: -7w + 6w = -1w -2 + -1w = -8 + -6w + 6w Combine like terms: -6w + 6w = 0 -2 + -1w = -8 + 0 -2 + -1w = -8 Add '2' to each side of the equation. -2 + 2 + -1w = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = -8 + 2 -1w = -8 + 2 Combine like terms: -8 + 2 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6
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