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Simplifying 5(3 + z) + -1(8z + 9) = 0 (3 * 5 + z * 5) + -1(8z + 9) = 0 (15 + 5z) + -1(8z + 9) = 0 Reorder the terms: 15 + 5z + -1(9 + 8z) = 0 15 + 5z + (9 * -1 + 8z * -1) = 0 15 + 5z + (-9 + -8z) = 0 Reorder the terms: 15 + -9 + 5z + -8z = 0 Combine like terms: 15 + -9 = 6 6 + 5z + -8z = 0 Combine like terms: 5z + -8z = -3z 6 + -3z = 0 Solving 6 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -3z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3z = 0 + -6 -3z = 0 + -6 Combine like terms: 0 + -6 = -6 -3z = -6 Divide each side by '-3'. z = 2 Simplifying z = 2
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