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Simplifying z + -3 + -2(z + -2) + 2(3z + 1) = 0 Reorder the terms: z + -3 + -2(-2 + z) + 2(3z + 1) = 0 z + -3 + (-2 * -2 + z * -2) + 2(3z + 1) = 0 z + -3 + (4 + -2z) + 2(3z + 1) = 0 Reorder the terms: z + -3 + 4 + -2z + 2(1 + 3z) = 0 z + -3 + 4 + -2z + (1 * 2 + 3z * 2) = 0 z + -3 + 4 + -2z + (2 + 6z) = 0 Reorder the terms: -3 + 4 + 2 + z + -2z + 6z = 0 Combine like terms: -3 + 4 = 1 1 + 2 + z + -2z + 6z = 0 Combine like terms: 1 + 2 = 3 3 + z + -2z + 6z = 0 Combine like terms: z + -2z = -1z 3 + -1z + 6z = 0 Combine like terms: -1z + 6z = 5z 3 + 5z = 0 Solving 3 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = 0 + -3 5z = 0 + -3 Combine like terms: 0 + -3 = -3 5z = -3 Divide each side by '5'. z = -0.6 Simplifying z = -0.6
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