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Simplifying 3z + -14 = 1 + 6z Reorder the terms: -14 + 3z = 1 + 6z Solving -14 + 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. -14 + 3z + -6z = 1 + 6z + -6z Combine like terms: 3z + -6z = -3z -14 + -3z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 -14 + -3z = 1 + 0 -14 + -3z = 1 Add '14' to each side of the equation. -14 + 14 + -3z = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -3z = 1 + 14 -3z = 1 + 14 Combine like terms: 1 + 14 = 15 -3z = 15 Divide each side by '-3'. z = -5 Simplifying z = -5
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