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Simplifying 12w + -20 = 13w + 5 + -9 Reorder the terms: -20 + 12w = 13w + 5 + -9 Reorder the terms: -20 + 12w = 5 + -9 + 13w Combine like terms: 5 + -9 = -4 -20 + 12w = -4 + 13w Solving -20 + 12w = -4 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -20 + 12w + -13w = -4 + 13w + -13w Combine like terms: 12w + -13w = -1w -20 + -1w = -4 + 13w + -13w Combine like terms: 13w + -13w = 0 -20 + -1w = -4 + 0 -20 + -1w = -4 Add '20' to each side of the equation. -20 + 20 + -1w = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -1w = -4 + 20 -1w = -4 + 20 Combine like terms: -4 + 20 = 16 -1w = 16 Divide each side by '-1'. w = -16 Simplifying w = -16
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