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Simplifying 3(w + -1) = -9w + 45 Reorder the terms: 3(-1 + w) = -9w + 45 (-1 * 3 + w * 3) = -9w + 45 (-3 + 3w) = -9w + 45 Reorder the terms: -3 + 3w = 45 + -9w Solving -3 + 3w = 45 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -3 + 3w + 9w = 45 + -9w + 9w Combine like terms: 3w + 9w = 12w -3 + 12w = 45 + -9w + 9w Combine like terms: -9w + 9w = 0 -3 + 12w = 45 + 0 -3 + 12w = 45 Add '3' to each side of the equation. -3 + 3 + 12w = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 12w = 45 + 3 12w = 45 + 3 Combine like terms: 45 + 3 = 48 12w = 48 Divide each side by '12'. w = 4 Simplifying w = 4
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