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Simplifying -1(15 + 9w) + -1(2w + -3z) = 0 (15 * -1 + 9w * -1) + -1(2w + -3z) = 0 (-15 + -9w) + -1(2w + -3z) = 0 -15 + -9w + (2w * -1 + -3z * -1) = 0 -15 + -9w + (-2w + 3z) = 0 Combine like terms: -9w + -2w = -11w -15 + -11w + 3z = 0 Solving -15 + -11w + 3z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -11w + 15 + 3z = 0 + 15 Reorder the terms: -15 + 15 + -11w + 3z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -11w + 3z = 0 + 15 -11w + 3z = 0 + 15 Combine like terms: 0 + 15 = 15 -11w + 3z = 15 Add '-3z' to each side of the equation. -11w + 3z + -3z = 15 + -3z Combine like terms: 3z + -3z = 0 -11w + 0 = 15 + -3z -11w = 15 + -3z Divide each side by '-11'. w = -1.363636364 + 0.2727272727z Simplifying w = -1.363636364 + 0.2727272727z
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