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Simplifying 8(2z + 4) + -3(3z + -18) = 0 Reorder the terms: 8(4 + 2z) + -3(3z + -18) = 0 (4 * 8 + 2z * 8) + -3(3z + -18) = 0 (32 + 16z) + -3(3z + -18) = 0 Reorder the terms: 32 + 16z + -3(-18 + 3z) = 0 32 + 16z + (-18 * -3 + 3z * -3) = 0 32 + 16z + (54 + -9z) = 0 Reorder the terms: 32 + 54 + 16z + -9z = 0 Combine like terms: 32 + 54 = 86 86 + 16z + -9z = 0 Combine like terms: 16z + -9z = 7z 86 + 7z = 0 Solving 86 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + 7z = 0 + -86 Combine like terms: 86 + -86 = 0 0 + 7z = 0 + -86 7z = 0 + -86 Combine like terms: 0 + -86 = -86 7z = -86 Divide each side by '7'. z = -12.28571429 Simplifying z = -12.28571429
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