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Simplifying 3w + -12 = 23 + 10w Reorder the terms: -12 + 3w = 23 + 10w Solving -12 + 3w = 23 + 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. -12 + 3w + -10w = 23 + 10w + -10w Combine like terms: 3w + -10w = -7w -12 + -7w = 23 + 10w + -10w Combine like terms: 10w + -10w = 0 -12 + -7w = 23 + 0 -12 + -7w = 23 Add '12' to each side of the equation. -12 + 12 + -7w = 23 + 12 Combine like terms: -12 + 12 = 0 0 + -7w = 23 + 12 -7w = 23 + 12 Combine like terms: 23 + 12 = 35 -7w = 35 Divide each side by '-7'. w = -5 Simplifying w = -5
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