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Simplifying 9(w + -5) + -1(-4w + -1) = 12w Reorder the terms: 9(-5 + w) + -1(-4w + -1) = 12w (-5 * 9 + w * 9) + -1(-4w + -1) = 12w (-45 + 9w) + -1(-4w + -1) = 12w Reorder the terms: -45 + 9w + -1(-1 + -4w) = 12w -45 + 9w + (-1 * -1 + -4w * -1) = 12w -45 + 9w + (1 + 4w) = 12w Reorder the terms: -45 + 1 + 9w + 4w = 12w Combine like terms: -45 + 1 = -44 -44 + 9w + 4w = 12w Combine like terms: 9w + 4w = 13w -44 + 13w = 12w Solving -44 + 13w = 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. -44 + 13w + -12w = 12w + -12w Combine like terms: 13w + -12w = 1w -44 + 1w = 12w + -12w Combine like terms: 12w + -12w = 0 -44 + 1w = 0 Add '44' to each side of the equation. -44 + 44 + 1w = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 1w = 0 + 44 1w = 0 + 44 Combine like terms: 0 + 44 = 44 1w = 44 Divide each side by '1'. w = 44 Simplifying w = 44
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