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Simplifying -4(3 + -4z) = 11z + 3 (3 * -4 + -4z * -4) = 11z + 3 (-12 + 16z) = 11z + 3 Reorder the terms: -12 + 16z = 3 + 11z Solving -12 + 16z = 3 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -12 + 16z + -11z = 3 + 11z + -11z Combine like terms: 16z + -11z = 5z -12 + 5z = 3 + 11z + -11z Combine like terms: 11z + -11z = 0 -12 + 5z = 3 + 0 -12 + 5z = 3 Add '12' to each side of the equation. -12 + 12 + 5z = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5z = 3 + 12 5z = 3 + 12 Combine like terms: 3 + 12 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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