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Simplifying 5(z + 6) = 2 + 3z Reorder the terms: 5(6 + z) = 2 + 3z (6 * 5 + z * 5) = 2 + 3z (30 + 5z) = 2 + 3z Solving 30 + 5z = 2 + 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. 30 + 5z + -3z = 2 + 3z + -3z Combine like terms: 5z + -3z = 2z 30 + 2z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 30 + 2z = 2 + 0 30 + 2z = 2 Add '-30' to each side of the equation. 30 + -30 + 2z = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 2z = 2 + -30 2z = 2 + -30 Combine like terms: 2 + -30 = -28 2z = -28 Divide each side by '2'. z = -14 Simplifying z = -14
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