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Simplifying 6 + -1(4z + -6) = 1 + -5z Reorder the terms: 6 + -1(-6 + 4z) = 1 + -5z 6 + (-6 * -1 + 4z * -1) = 1 + -5z 6 + (6 + -4z) = 1 + -5z Combine like terms: 6 + 6 = 12 12 + -4z = 1 + -5z Solving 12 + -4z = 1 + -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. 12 + -4z + 5z = 1 + -5z + 5z Combine like terms: -4z + 5z = 1z 12 + 1z = 1 + -5z + 5z Combine like terms: -5z + 5z = 0 12 + 1z = 1 + 0 12 + 1z = 1 Add '-12' to each side of the equation. 12 + -12 + 1z = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 1 + -12 1z = 1 + -12 Combine like terms: 1 + -12 = -11 1z = -11 Divide each side by '1'. z = -11 Simplifying z = -11
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