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Simplifying -3w + -12 = 7w + 8 Reorder the terms: -12 + -3w = 7w + 8 Reorder the terms: -12 + -3w = 8 + 7w Solving -12 + -3w = 8 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -12 + -3w + -7w = 8 + 7w + -7w Combine like terms: -3w + -7w = -10w -12 + -10w = 8 + 7w + -7w Combine like terms: 7w + -7w = 0 -12 + -10w = 8 + 0 -12 + -10w = 8 Add '12' to each side of the equation. -12 + 12 + -10w = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -10w = 8 + 12 -10w = 8 + 12 Combine like terms: 8 + 12 = 20 -10w = 20 Divide each side by '-10'. w = -2 Simplifying w = -2
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