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Simplifying 3z + 7 + -1z = 3 + z + -2 Reorder the terms: 7 + 3z + -1z = 3 + z + -2 Combine like terms: 3z + -1z = 2z 7 + 2z = 3 + z + -2 Reorder the terms: 7 + 2z = 3 + -2 + z Combine like terms: 3 + -2 = 1 7 + 2z = 1 + z Solving 7 + 2z = 1 + 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. 7 + 2z + -1z = 1 + z + -1z Combine like terms: 2z + -1z = 1z 7 + 1z = 1 + z + -1z Combine like terms: z + -1z = 0 7 + 1z = 1 + 0 7 + 1z = 1 Add '-7' to each side of the equation. 7 + -7 + 1z = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 1 + -7 1z = 1 + -7 Combine like terms: 1 + -7 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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