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Simplifying 5(2z + 6) = 12 + -3(z + -6) Reorder the terms: 5(6 + 2z) = 12 + -3(z + -6) (6 * 5 + 2z * 5) = 12 + -3(z + -6) (30 + 10z) = 12 + -3(z + -6) Reorder the terms: 30 + 10z = 12 + -3(-6 + z) 30 + 10z = 12 + (-6 * -3 + z * -3) 30 + 10z = 12 + (18 + -3z) Combine like terms: 12 + 18 = 30 30 + 10z = 30 + -3z Add '-30' to each side of the equation. 30 + -30 + 10z = 30 + -30 + -3z Combine like terms: 30 + -30 = 0 0 + 10z = 30 + -30 + -3z 10z = 30 + -30 + -3z Combine like terms: 30 + -30 = 0 10z = 0 + -3z 10z = -3z Solving 10z = -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. 10z + 3z = -3z + 3z Combine like terms: 10z + 3z = 13z 13z = -3z + 3z Combine like terms: -3z + 3z = 0 13z = 0 Divide each side by '13'. z = 0 Simplifying z = 0
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