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Simplifying 2w + -7 = 10w + -1 Reorder the terms: -7 + 2w = 10w + -1 Reorder the terms: -7 + 2w = -1 + 10w Solving -7 + 2w = -1 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -7 + 2w + -10w = -1 + 10w + -10w Combine like terms: 2w + -10w = -8w -7 + -8w = -1 + 10w + -10w Combine like terms: 10w + -10w = 0 -7 + -8w = -1 + 0 -7 + -8w = -1 Add '7' to each side of the equation. -7 + 7 + -8w = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -8w = -1 + 7 -8w = -1 + 7 Combine like terms: -1 + 7 = 6 -8w = 6 Divide each side by '-8'. w = -0.75 Simplifying w = -0.75
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