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Simplifying -1(17 + 4w) + -1(4w + -9z) = 0 (17 * -1 + 4w * -1) + -1(4w + -9z) = 0 (-17 + -4w) + -1(4w + -9z) = 0 -17 + -4w + (4w * -1 + -9z * -1) = 0 -17 + -4w + (-4w + 9z) = 0 Combine like terms: -4w + -4w = -8w -17 + -8w + 9z = 0 Solving -17 + -8w + 9z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + -8w + 17 + 9z = 0 + 17 Reorder the terms: -17 + 17 + -8w + 9z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -8w + 9z = 0 + 17 -8w + 9z = 0 + 17 Combine like terms: 0 + 17 = 17 -8w + 9z = 17 Add '-9z' to each side of the equation. -8w + 9z + -9z = 17 + -9z Combine like terms: 9z + -9z = 0 -8w + 0 = 17 + -9z -8w = 17 + -9z Divide each side by '-8'. w = -2.125 + 1.125z Simplifying w = -2.125 + 1.125z
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