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