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Simplifying 8(z + 8) + -1(4z + -8) = 3z Reorder the terms: 8(8 + z) + -1(4z + -8) = 3z (8 * 8 + z * 8) + -1(4z + -8) = 3z (64 + 8z) + -1(4z + -8) = 3z Reorder the terms: 64 + 8z + -1(-8 + 4z) = 3z 64 + 8z + (-8 * -1 + 4z * -1) = 3z 64 + 8z + (8 + -4z) = 3z Reorder the terms: 64 + 8 + 8z + -4z = 3z Combine like terms: 64 + 8 = 72 72 + 8z + -4z = 3z Combine like terms: 8z + -4z = 4z 72 + 4z = 3z Solving 72 + 4z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 72 + 4z + -3z = 3z + -3z Combine like terms: 4z + -3z = 1z 72 + 1z = 3z + -3z Combine like terms: 3z + -3z = 0 72 + 1z = 0 Add '-72' to each side of the equation. 72 + -72 + 1z = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 1z = 0 + -72 1z = 0 + -72 Combine like terms: 0 + -72 = -72 1z = -72 Divide each side by '1'. z = -72 Simplifying z = -72
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