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Simplifying 6z + 7 + -2z = 1 + 3z + -4 Reorder the terms: 7 + 6z + -2z = 1 + 3z + -4 Combine like terms: 6z + -2z = 4z 7 + 4z = 1 + 3z + -4 Reorder the terms: 7 + 4z = 1 + -4 + 3z Combine like terms: 1 + -4 = -3 7 + 4z = -3 + 3z Solving 7 + 4z = -3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 7 + 4z + -3z = -3 + 3z + -3z Combine like terms: 4z + -3z = 1z 7 + 1z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + 1z = -3 + 0 7 + 1z = -3 Add '-7' to each side of the equation. 7 + -7 + 1z = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = -3 + -7 1z = -3 + -7 Combine like terms: -3 + -7 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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