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Simplifying 6 + -1(4z + -1) = 6 + -5z Reorder the terms: 6 + -1(-1 + 4z) = 6 + -5z 6 + (-1 * -1 + 4z * -1) = 6 + -5z 6 + (1 + -4z) = 6 + -5z Combine like terms: 6 + 1 = 7 7 + -4z = 6 + -5z Solving 7 + -4z = 6 + -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. 7 + -4z + 5z = 6 + -5z + 5z Combine like terms: -4z + 5z = 1z 7 + 1z = 6 + -5z + 5z Combine like terms: -5z + 5z = 0 7 + 1z = 6 + 0 7 + 1z = 6 Add '-7' to each side of the equation. 7 + -7 + 1z = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 6 + -7 1z = 6 + -7 Combine like terms: 6 + -7 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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