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Simplifying 3w + -2 = 10w + 12 Reorder the terms: -2 + 3w = 10w + 12 Reorder the terms: -2 + 3w = 12 + 10w Solving -2 + 3w = 12 + 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 = 12 + 10w + -10w Combine like terms: 3w + -10w = -7w -2 + -7w = 12 + 10w + -10w Combine like terms: 10w + -10w = 0 -2 + -7w = 12 + 0 -2 + -7w = 12 Add '2' to each side of the equation. -2 + 2 + -7w = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -7w = 12 + 2 -7w = 12 + 2 Combine like terms: 12 + 2 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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