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Simplifying 5(z + 1) + -1(8z + -9) = 4z Reorder the terms: 5(1 + z) + -1(8z + -9) = 4z (1 * 5 + z * 5) + -1(8z + -9) = 4z (5 + 5z) + -1(8z + -9) = 4z Reorder the terms: 5 + 5z + -1(-9 + 8z) = 4z 5 + 5z + (-9 * -1 + 8z * -1) = 4z 5 + 5z + (9 + -8z) = 4z Reorder the terms: 5 + 9 + 5z + -8z = 4z Combine like terms: 5 + 9 = 14 14 + 5z + -8z = 4z Combine like terms: 5z + -8z = -3z 14 + -3z = 4z Solving 14 + -3z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 14 + -3z + -4z = 4z + -4z Combine like terms: -3z + -4z = -7z 14 + -7z = 4z + -4z Combine like terms: 4z + -4z = 0 14 + -7z = 0 Add '-14' to each side of the equation. 14 + -14 + -7z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7z = 0 + -14 -7z = 0 + -14 Combine like terms: 0 + -14 = -14 -7z = -14 Divide each side by '-7'. z = 2 Simplifying z = 2
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