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Simplifying 5z + -4(z + -8) = 4z + 2z Reorder the terms: 5z + -4(-8 + z) = 4z + 2z 5z + (-8 * -4 + z * -4) = 4z + 2z 5z + (32 + -4z) = 4z + 2z Reorder the terms: 32 + 5z + -4z = 4z + 2z Combine like terms: 5z + -4z = 1z 32 + 1z = 4z + 2z Combine like terms: 4z + 2z = 6z 32 + 1z = 6z Solving 32 + 1z = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 32 + 1z + -6z = 6z + -6z Combine like terms: 1z + -6z = -5z 32 + -5z = 6z + -6z Combine like terms: 6z + -6z = 0 32 + -5z = 0 Add '-32' to each side of the equation. 32 + -32 + -5z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -5z = 0 + -32 -5z = 0 + -32 Combine like terms: 0 + -32 = -32 -5z = -32 Divide each side by '-5'. z = 6.4 Simplifying z = 6.4
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