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Simplifying 5z + -8 + 3(z + 4) = -36 Reorder the terms: 5z + -8 + 3(4 + z) = -36 5z + -8 + (4 * 3 + z * 3) = -36 5z + -8 + (12 + 3z) = -36 Reorder the terms: -8 + 12 + 5z + 3z = -36 Combine like terms: -8 + 12 = 4 4 + 5z + 3z = -36 Combine like terms: 5z + 3z = 8z 4 + 8z = -36 Solving 4 + 8z = -36 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8z = -36 + -4 Combine like terms: 4 + -4 = 0 0 + 8z = -36 + -4 8z = -36 + -4 Combine like terms: -36 + -4 = -40 8z = -40 Divide each side by '8'. z = -5 Simplifying z = -5
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