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Simplifying 6 + 3z = 7 + -1z Solving 6 + 3z = 7 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 6 + 3z + z = 7 + -1z + z Combine like terms: 3z + z = 4z 6 + 4z = 7 + -1z + z Combine like terms: -1z + z = 0 6 + 4z = 7 + 0 6 + 4z = 7 Add '-6' to each side of the equation. 6 + -6 + 4z = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 4z = 7 + -6 4z = 7 + -6 Combine like terms: 7 + -6 = 1 4z = 1 Divide each side by '4'. z = 0.25 Simplifying z = 0.25
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