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Simplifying 3z + 3 + -1z = 6 + z + -7 Reorder the terms: 3 + 3z + -1z = 6 + z + -7 Combine like terms: 3z + -1z = 2z 3 + 2z = 6 + z + -7 Reorder the terms: 3 + 2z = 6 + -7 + z Combine like terms: 6 + -7 = -1 3 + 2z = -1 + z Solving 3 + 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. 3 + 2z + -1z = -1 + z + -1z Combine like terms: 2z + -1z = 1z 3 + 1z = -1 + z + -1z Combine like terms: z + -1z = 0 3 + 1z = -1 + 0 3 + 1z = -1 Add '-3' to each side of the equation. 3 + -3 + 1z = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = -1 + -3 1z = -1 + -3 Combine like terms: -1 + -3 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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