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Simplifying 4z + 1 = 6z + -1(3z + -9) Reorder the terms: 1 + 4z = 6z + -1(3z + -9) Reorder the terms: 1 + 4z = 6z + -1(-9 + 3z) 1 + 4z = 6z + (-9 * -1 + 3z * -1) 1 + 4z = 6z + (9 + -3z) Reorder the terms: 1 + 4z = 9 + 6z + -3z Combine like terms: 6z + -3z = 3z 1 + 4z = 9 + 3z Solving 1 + 4z = 9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 1 + 4z + -3z = 9 + 3z + -3z Combine like terms: 4z + -3z = 1z 1 + 1z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 1z = 9 + 0 1 + 1z = 9 Add '-1' to each side of the equation. 1 + -1 + 1z = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 9 + -1 1z = 9 + -1 Combine like terms: 9 + -1 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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