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Simplifying -7w + -12 = -3w + 20 Reorder the terms: -12 + -7w = -3w + 20 Reorder the terms: -12 + -7w = 20 + -3w Solving -12 + -7w = 20 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -12 + -7w + 3w = 20 + -3w + 3w Combine like terms: -7w + 3w = -4w -12 + -4w = 20 + -3w + 3w Combine like terms: -3w + 3w = 0 -12 + -4w = 20 + 0 -12 + -4w = 20 Add '12' to each side of the equation. -12 + 12 + -4w = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -4w = 20 + 12 -4w = 20 + 12 Combine like terms: 20 + 12 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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