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Simplifying 11 + -1(6w + -1z) + -9(w + 5) + 4z = 0 11 + (6w * -1 + -1z * -1) + -9(w + 5) + 4z = 0 11 + (-6w + 1z) + -9(w + 5) + 4z = 0 Reorder the terms: 11 + -6w + 1z + -9(5 + w) + 4z = 0 11 + -6w + 1z + (5 * -9 + w * -9) + 4z = 0 11 + -6w + 1z + (-45 + -9w) + 4z = 0 Reorder the terms: 11 + -45 + -6w + -9w + 1z + 4z = 0 Combine like terms: 11 + -45 = -34 -34 + -6w + -9w + 1z + 4z = 0 Combine like terms: -6w + -9w = -15w -34 + -15w + 1z + 4z = 0 Combine like terms: 1z + 4z = 5z -34 + -15w + 5z = 0 Solving -34 + -15w + 5z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '34' to each side of the equation. -34 + -15w + 34 + 5z = 0 + 34 Reorder the terms: -34 + 34 + -15w + 5z = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -15w + 5z = 0 + 34 -15w + 5z = 0 + 34 Combine like terms: 0 + 34 = 34 -15w + 5z = 34 Add '-5z' to each side of the equation. -15w + 5z + -5z = 34 + -5z Combine like terms: 5z + -5z = 0 -15w + 0 = 34 + -5z -15w = 34 + -5z Divide each side by '-15'. w = -2.266666667 + 0.3333333333z Simplifying w = -2.266666667 + 0.3333333333z
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