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