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