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Simplifying 4z + 7 + -1(6z + 1) = 0 Reorder the terms: 4z + 7 + -1(1 + 6z) = 0 4z + 7 + (1 * -1 + 6z * -1) = 0 4z + 7 + (-1 + -6z) = 0 Reorder the terms: 7 + -1 + 4z + -6z = 0 Combine like terms: 7 + -1 = 6 6 + 4z + -6z = 0 Combine like terms: 4z + -6z = -2z 6 + -2z = 0 Solving 6 + -2z = 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 + -2z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2z = 0 + -6 -2z = 0 + -6 Combine like terms: 0 + -6 = -6 -2z = -6 Divide each side by '-2'. z = 3 Simplifying z = 3
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