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Simplifying -9(z + 2) + -1(8 + 9z) = -19z Reorder the terms: -9(2 + z) + -1(8 + 9z) = -19z (2 * -9 + z * -9) + -1(8 + 9z) = -19z (-18 + -9z) + -1(8 + 9z) = -19z -18 + -9z + (8 * -1 + 9z * -1) = -19z -18 + -9z + (-8 + -9z) = -19z Reorder the terms: -18 + -8 + -9z + -9z = -19z Combine like terms: -18 + -8 = -26 -26 + -9z + -9z = -19z Combine like terms: -9z + -9z = -18z -26 + -18z = -19z Solving -26 + -18z = -19z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '19z' to each side of the equation. -26 + -18z + 19z = -19z + 19z Combine like terms: -18z + 19z = 1z -26 + 1z = -19z + 19z Combine like terms: -19z + 19z = 0 -26 + 1z = 0 Add '26' to each side of the equation. -26 + 26 + 1z = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 1z = 0 + 26 1z = 0 + 26 Combine like terms: 0 + 26 = 26 1z = 26 Divide each side by '1'. z = 26 Simplifying z = 26
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