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Simplifying 6w + -5 = 7w + -1 Reorder the terms: -5 + 6w = 7w + -1 Reorder the terms: -5 + 6w = -1 + 7w Solving -5 + 6w = -1 + 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. -5 + 6w + -7w = -1 + 7w + -7w Combine like terms: 6w + -7w = -1w -5 + -1w = -1 + 7w + -7w Combine like terms: 7w + -7w = 0 -5 + -1w = -1 + 0 -5 + -1w = -1 Add '5' to each side of the equation. -5 + 5 + -1w = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = -1 + 5 -1w = -1 + 5 Combine like terms: -1 + 5 = 4 -1w = 4 Divide each side by '-1'. w = -4 Simplifying w = -4
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