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Simplifying 3 + -4z = 5(2 + -1z) + -1 3 + -4z = (2 * 5 + -1z * 5) + -1 3 + -4z = (10 + -5z) + -1 Reorder the terms: 3 + -4z = 10 + -1 + -5z Combine like terms: 10 + -1 = 9 3 + -4z = 9 + -5z Solving 3 + -4z = 9 + -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. 3 + -4z + 5z = 9 + -5z + 5z Combine like terms: -4z + 5z = 1z 3 + 1z = 9 + -5z + 5z Combine like terms: -5z + 5z = 0 3 + 1z = 9 + 0 3 + 1z = 9 Add '-3' to each side of the equation. 3 + -3 + 1z = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 9 + -3 1z = 9 + -3 Combine like terms: 9 + -3 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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