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Simplifying 6w + -7 = -10 + 5w + -7w Reorder the terms: -7 + 6w = -10 + 5w + -7w Combine like terms: 5w + -7w = -2w -7 + 6w = -10 + -2w Solving -7 + 6w = -10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -7 + 6w + 2w = -10 + -2w + 2w Combine like terms: 6w + 2w = 8w -7 + 8w = -10 + -2w + 2w Combine like terms: -2w + 2w = 0 -7 + 8w = -10 + 0 -7 + 8w = -10 Add '7' to each side of the equation. -7 + 7 + 8w = -10 + 7 Combine like terms: -7 + 7 = 0 0 + 8w = -10 + 7 8w = -10 + 7 Combine like terms: -10 + 7 = -3 8w = -3 Divide each side by '8'. w = -0.375 Simplifying w = -0.375
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