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Simplifying 8z + -12 = 3(3z + 11) + -6z Reorder the terms: -12 + 8z = 3(3z + 11) + -6z Reorder the terms: -12 + 8z = 3(11 + 3z) + -6z -12 + 8z = (11 * 3 + 3z * 3) + -6z -12 + 8z = (33 + 9z) + -6z Combine like terms: 9z + -6z = 3z -12 + 8z = 33 + 3z Solving -12 + 8z = 33 + 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. -12 + 8z + -3z = 33 + 3z + -3z Combine like terms: 8z + -3z = 5z -12 + 5z = 33 + 3z + -3z Combine like terms: 3z + -3z = 0 -12 + 5z = 33 + 0 -12 + 5z = 33 Add '12' to each side of the equation. -12 + 12 + 5z = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 5z = 33 + 12 5z = 33 + 12 Combine like terms: 33 + 12 = 45 5z = 45 Divide each side by '5'. z = 9 Simplifying z = 9
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