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Simplifying 2(4z + -12) + 3z = 6z + 1 Reorder the terms: 2(-12 + 4z) + 3z = 6z + 1 (-12 * 2 + 4z * 2) + 3z = 6z + 1 (-24 + 8z) + 3z = 6z + 1 Combine like terms: 8z + 3z = 11z -24 + 11z = 6z + 1 Reorder the terms: -24 + 11z = 1 + 6z Solving -24 + 11z = 1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -24 + 11z + -6z = 1 + 6z + -6z Combine like terms: 11z + -6z = 5z -24 + 5z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 -24 + 5z = 1 + 0 -24 + 5z = 1 Add '24' to each side of the equation. -24 + 24 + 5z = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 5z = 1 + 24 5z = 1 + 24 Combine like terms: 1 + 24 = 25 5z = 25 Divide each side by '5'. z = 5 Simplifying z = 5
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