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Simplifying -1(16 + 5w) + -1(9w + -3z) = 0 (16 * -1 + 5w * -1) + -1(9w + -3z) = 0 (-16 + -5w) + -1(9w + -3z) = 0 -16 + -5w + (9w * -1 + -3z * -1) = 0 -16 + -5w + (-9w + 3z) = 0 Combine like terms: -5w + -9w = -14w -16 + -14w + 3z = 0 Solving -16 + -14w + 3z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -14w + 16 + 3z = 0 + 16 Reorder the terms: -16 + 16 + -14w + 3z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -14w + 3z = 0 + 16 -14w + 3z = 0 + 16 Combine like terms: 0 + 16 = 16 -14w + 3z = 16 Add '-3z' to each side of the equation. -14w + 3z + -3z = 16 + -3z Combine like terms: 3z + -3z = 0 -14w + 0 = 16 + -3z -14w = 16 + -3z Divide each side by '-14'. w = -1.142857143 + 0.2142857143z Simplifying w = -1.142857143 + 0.2142857143z
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