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Simplifying -9(w + 1) = 3w + -45 Reorder the terms: -9(1 + w) = 3w + -45 (1 * -9 + w * -9) = 3w + -45 (-9 + -9w) = 3w + -45 Reorder the terms: -9 + -9w = -45 + 3w Solving -9 + -9w = -45 + 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. -9 + -9w + -3w = -45 + 3w + -3w Combine like terms: -9w + -3w = -12w -9 + -12w = -45 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + -12w = -45 + 0 -9 + -12w = -45 Add '9' to each side of the equation. -9 + 9 + -12w = -45 + 9 Combine like terms: -9 + 9 = 0 0 + -12w = -45 + 9 -12w = -45 + 9 Combine like terms: -45 + 9 = -36 -12w = -36 Divide each side by '-12'. w = 3 Simplifying w = 3
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