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Simplifying 3(z + 2) = 3(t + 7) Reorder the terms: 3(2 + z) = 3(t + 7) (2 * 3 + z * 3) = 3(t + 7) (6 + 3z) = 3(t + 7) Reorder the terms: 6 + 3z = 3(7 + t) 6 + 3z = (7 * 3 + t * 3) 6 + 3z = (21 + 3t) Solving 6 + 3z = 21 + 3t Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3z = 21 + -6 + 3t Combine like terms: 6 + -6 = 0 0 + 3z = 21 + -6 + 3t 3z = 21 + -6 + 3t Combine like terms: 21 + -6 = 15 3z = 15 + 3t Divide each side by '3'. z = 5 + t Simplifying z = 5 + t
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