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Simplifying 4(2 + -3w) = -16 + -9w (2 * 4 + -3w * 4) = -16 + -9w (8 + -12w) = -16 + -9w Solving 8 + -12w = -16 + -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. 8 + -12w + 9w = -16 + -9w + 9w Combine like terms: -12w + 9w = -3w 8 + -3w = -16 + -9w + 9w Combine like terms: -9w + 9w = 0 8 + -3w = -16 + 0 8 + -3w = -16 Add '-8' to each side of the equation. 8 + -8 + -3w = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = -16 + -8 -3w = -16 + -8 Combine like terms: -16 + -8 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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