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