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Simplifying 3(z + 1) + z = -4 + -1z Reorder the terms: 3(1 + z) + z = -4 + -1z (1 * 3 + z * 3) + z = -4 + -1z (3 + 3z) + z = -4 + -1z Combine like terms: 3z + z = 4z 3 + 4z = -4 + -1z Solving 3 + 4z = -4 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 3 + 4z + z = -4 + -1z + z Combine like terms: 4z + z = 5z 3 + 5z = -4 + -1z + z Combine like terms: -1z + z = 0 3 + 5z = -4 + 0 3 + 5z = -4 Add '-3' to each side of the equation. 3 + -3 + 5z = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = -4 + -3 5z = -4 + -3 Combine like terms: -4 + -3 = -7 5z = -7 Divide each side by '5'. z = -1.4 Simplifying z = -1.4
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