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Simplifying 10 = 3z + 1 Reorder the terms: 10 = 1 + 3z Solving 10 = 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. 10 + -3z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 10 + -3z = 1 + 0 10 + -3z = 1 Add '-10' to each side of the equation. 10 + -10 + -3z = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3z = 1 + -10 -3z = 1 + -10 Combine like terms: 1 + -10 = -9 -3z = -9 Divide each side by '-3'. z = 3 Simplifying z = 3
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