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Simplifying -12 + 13w + -16 = -20 + 12w Reorder the terms: -12 + -16 + 13w = -20 + 12w Combine like terms: -12 + -16 = -28 -28 + 13w = -20 + 12w Solving -28 + 13w = -20 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -28 + 13w + -12w = -20 + 12w + -12w Combine like terms: 13w + -12w = 1w -28 + 1w = -20 + 12w + -12w Combine like terms: 12w + -12w = 0 -28 + 1w = -20 + 0 -28 + 1w = -20 Add '28' to each side of the equation. -28 + 28 + 1w = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 1w = -20 + 28 1w = -20 + 28 Combine like terms: -20 + 28 = 8 1w = 8 Divide each side by '1'. w = 8 Simplifying w = 8
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