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Simplifying 0.25w + -9 = 0.125w + -1 Reorder the terms: -9 + 0.25w = 0.125w + -1 Reorder the terms: -9 + 0.25w = -1 + 0.125w Solving -9 + 0.25w = -1 + 0.125w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.125w' to each side of the equation. -9 + 0.25w + -0.125w = -1 + 0.125w + -0.125w Combine like terms: 0.25w + -0.125w = 0.125w -9 + 0.125w = -1 + 0.125w + -0.125w Combine like terms: 0.125w + -0.125w = 0.000 -9 + 0.125w = -1 + 0.000 -9 + 0.125w = -1 Add '9' to each side of the equation. -9 + 9 + 0.125w = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 0.125w = -1 + 9 0.125w = -1 + 9 Combine like terms: -1 + 9 = 8 0.125w = 8 Divide each side by '0.125'. w = 64 Simplifying w = 64
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