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Simplifying -3w + 2 = 10w + 30 Reorder the terms: 2 + -3w = 10w + 30 Reorder the terms: 2 + -3w = 30 + 10w Solving 2 + -3w = 30 + 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. 2 + -3w + -10w = 30 + 10w + -10w Combine like terms: -3w + -10w = -13w 2 + -13w = 30 + 10w + -10w Combine like terms: 10w + -10w = 0 2 + -13w = 30 + 0 2 + -13w = 30 Add '-2' to each side of the equation. 2 + -2 + -13w = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -13w = 30 + -2 -13w = 30 + -2 Combine like terms: 30 + -2 = 28 -13w = 28 Divide each side by '-13'. w = -2.153846154 Simplifying w = -2.153846154
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