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Simplifying -2(2z + 6) + -3(z + -8) = 0 Reorder the terms: -2(6 + 2z) + -3(z + -8) = 0 (6 * -2 + 2z * -2) + -3(z + -8) = 0 (-12 + -4z) + -3(z + -8) = 0 Reorder the terms: -12 + -4z + -3(-8 + z) = 0 -12 + -4z + (-8 * -3 + z * -3) = 0 -12 + -4z + (24 + -3z) = 0 Reorder the terms: -12 + 24 + -4z + -3z = 0 Combine like terms: -12 + 24 = 12 12 + -4z + -3z = 0 Combine like terms: -4z + -3z = -7z 12 + -7z = 0 Solving 12 + -7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7z = 0 + -12 -7z = 0 + -12 Combine like terms: 0 + -12 = -12 -7z = -12 Divide each side by '-7'. z = 1.714285714 Simplifying z = 1.714285714
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