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Simplifying 3z + 43 = 6z + 1 Reorder the terms: 43 + 3z = 6z + 1 Reorder the terms: 43 + 3z = 1 + 6z Solving 43 + 3z = 1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 43 + 3z + -6z = 1 + 6z + -6z Combine like terms: 3z + -6z = -3z 43 + -3z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 43 + -3z = 1 + 0 43 + -3z = 1 Add '-43' to each side of the equation. 43 + -43 + -3z = 1 + -43 Combine like terms: 43 + -43 = 0 0 + -3z = 1 + -43 -3z = 1 + -43 Combine like terms: 1 + -43 = -42 -3z = -42 Divide each side by '-3'. z = 14 Simplifying z = 14
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