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Simplifying 8(2z + 4) + -3(3z + -6) = 0 Reorder the terms: 8(4 + 2z) + -3(3z + -6) = 0 (4 * 8 + 2z * 8) + -3(3z + -6) = 0 (32 + 16z) + -3(3z + -6) = 0 Reorder the terms: 32 + 16z + -3(-6 + 3z) = 0 32 + 16z + (-6 * -3 + 3z * -3) = 0 32 + 16z + (18 + -9z) = 0 Reorder the terms: 32 + 18 + 16z + -9z = 0 Combine like terms: 32 + 18 = 50 50 + 16z + -9z = 0 Combine like terms: 16z + -9z = 7z 50 + 7z = 0 Solving 50 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 7z = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 7z = 0 + -50 7z = 0 + -50 Combine like terms: 0 + -50 = -50 7z = -50 Divide each side by '7'. z = -7.142857143 Simplifying z = -7.142857143
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