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Simplifying 8(z + 9) + -1(5z + -3) = 2z Reorder the terms: 8(9 + z) + -1(5z + -3) = 2z (9 * 8 + z * 8) + -1(5z + -3) = 2z (72 + 8z) + -1(5z + -3) = 2z Reorder the terms: 72 + 8z + -1(-3 + 5z) = 2z 72 + 8z + (-3 * -1 + 5z * -1) = 2z 72 + 8z + (3 + -5z) = 2z Reorder the terms: 72 + 3 + 8z + -5z = 2z Combine like terms: 72 + 3 = 75 75 + 8z + -5z = 2z Combine like terms: 8z + -5z = 3z 75 + 3z = 2z Solving 75 + 3z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 75 + 3z + -2z = 2z + -2z Combine like terms: 3z + -2z = 1z 75 + 1z = 2z + -2z Combine like terms: 2z + -2z = 0 75 + 1z = 0 Add '-75' to each side of the equation. 75 + -75 + 1z = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 1z = 0 + -75 1z = 0 + -75 Combine like terms: 0 + -75 = -75 1z = -75 Divide each side by '1'. z = -75 Simplifying z = -75
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