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Simplifying 2(z + 3) = 6(t + 2) Reorder the terms: 2(3 + z) = 6(t + 2) (3 * 2 + z * 2) = 6(t + 2) (6 + 2z) = 6(t + 2) Reorder the terms: 6 + 2z = 6(2 + t) 6 + 2z = (2 * 6 + t * 6) 6 + 2z = (12 + 6t) Solving 6 + 2z = 12 + 6t 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 + 2z = 12 + -6 + 6t Combine like terms: 6 + -6 = 0 0 + 2z = 12 + -6 + 6t 2z = 12 + -6 + 6t Combine like terms: 12 + -6 = 6 2z = 6 + 6t Divide each side by '2'. z = 3 + 3t Simplifying z = 3 + 3t
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