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Simplifying -2z + 3 + -1z = -1z + -4(z + 2) Reorder the terms: 3 + -2z + -1z = -1z + -4(z + 2) Combine like terms: -2z + -1z = -3z 3 + -3z = -1z + -4(z + 2) Reorder the terms: 3 + -3z = -1z + -4(2 + z) 3 + -3z = -1z + (2 * -4 + z * -4) 3 + -3z = -1z + (-8 + -4z) Reorder the terms: 3 + -3z = -8 + -1z + -4z Combine like terms: -1z + -4z = -5z 3 + -3z = -8 + -5z Solving 3 + -3z = -8 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 3 + -3z + 5z = -8 + -5z + 5z Combine like terms: -3z + 5z = 2z 3 + 2z = -8 + -5z + 5z Combine like terms: -5z + 5z = 0 3 + 2z = -8 + 0 3 + 2z = -8 Add '-3' to each side of the equation. 3 + -3 + 2z = -8 + -3 Combine like terms: 3 + -3 = 0 0 + 2z = -8 + -3 2z = -8 + -3 Combine like terms: -8 + -3 = -11 2z = -11 Divide each side by '2'. z = -5.5 Simplifying z = -5.5
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