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