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Simplifying z + 42 = 3z Reorder the terms: 42 + z = 3z Solving 42 + z = 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. 42 + z + -3z = 3z + -3z Combine like terms: z + -3z = -2z 42 + -2z = 3z + -3z Combine like terms: 3z + -3z = 0 42 + -2z = 0 Add '-42' to each side of the equation. 42 + -42 + -2z = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -2z = 0 + -42 -2z = 0 + -42 Combine like terms: 0 + -42 = -42 -2z = -42 Divide each side by '-2'. z = 21 Simplifying z = 21
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