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Simplifying 3(-8z + -4) + -7(4z + 2) = 0 Reorder the terms: 3(-4 + -8z) + -7(4z + 2) = 0 (-4 * 3 + -8z * 3) + -7(4z + 2) = 0 (-12 + -24z) + -7(4z + 2) = 0 Reorder the terms: -12 + -24z + -7(2 + 4z) = 0 -12 + -24z + (2 * -7 + 4z * -7) = 0 -12 + -24z + (-14 + -28z) = 0 Reorder the terms: -12 + -14 + -24z + -28z = 0 Combine like terms: -12 + -14 = -26 -26 + -24z + -28z = 0 Combine like terms: -24z + -28z = -52z -26 + -52z = 0 Solving -26 + -52z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -52z = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -52z = 0 + 26 -52z = 0 + 26 Combine like terms: 0 + 26 = 26 -52z = 26 Divide each side by '-52'. z = -0.5 Simplifying z = -0.5
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