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Simplifying 2z + 8 + 3z = 4 + -1(z + 2) Reorder the terms: 8 + 2z + 3z = 4 + -1(z + 2) Combine like terms: 2z + 3z = 5z 8 + 5z = 4 + -1(z + 2) Reorder the terms: 8 + 5z = 4 + -1(2 + z) 8 + 5z = 4 + (2 * -1 + z * -1) 8 + 5z = 4 + (-2 + -1z) Combine like terms: 4 + -2 = 2 8 + 5z = 2 + -1z Solving 8 + 5z = 2 + -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. 8 + 5z + z = 2 + -1z + z Combine like terms: 5z + z = 6z 8 + 6z = 2 + -1z + z Combine like terms: -1z + z = 0 8 + 6z = 2 + 0 8 + 6z = 2 Add '-8' to each side of the equation. 8 + -8 + 6z = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 6z = 2 + -8 6z = 2 + -8 Combine like terms: 2 + -8 = -6 6z = -6 Divide each side by '6'. z = -1 Simplifying z = -1
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