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Simplifying [1 + -3z] = [z + 2] Remove brackets around [1 + -3z] 1 + -3z = [z + 2] Reorder the terms: 1 + -3z = [2 + z] Remove brackets around [2 + z] 1 + -3z = 2 + z Solving 1 + -3z = 2 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 1 + -3z + -1z = 2 + z + -1z Combine like terms: -3z + -1z = -4z 1 + -4z = 2 + z + -1z Combine like terms: z + -1z = 0 1 + -4z = 2 + 0 1 + -4z = 2 Add '-1' to each side of the equation. 1 + -1 + -4z = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -4z = 2 + -1 -4z = 2 + -1 Combine like terms: 2 + -1 = 1 -4z = 1 Divide each side by '-4'. z = -0.25 Simplifying z = -0.25
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