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Simplifying 5z + 3(z + -2) + -6z = 12 Reorder the terms: 5z + 3(-2 + z) + -6z = 12 5z + (-2 * 3 + z * 3) + -6z = 12 5z + (-6 + 3z) + -6z = 12 Reorder the terms: -6 + 5z + 3z + -6z = 12 Combine like terms: 5z + 3z = 8z -6 + 8z + -6z = 12 Combine like terms: 8z + -6z = 2z -6 + 2z = 12 Solving -6 + 2z = 12 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 Combine like terms: -6 + 6 = 0 0 + 2z = 12 + 6 2z = 12 + 6 Combine like terms: 12 + 6 = 18 2z = 18 Divide each side by '2'. z = 9 Simplifying z = 9
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