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Simplifying 6 + -1(4z + -2) = 1 + -5z Reorder the terms: 6 + -1(-2 + 4z) = 1 + -5z 6 + (-2 * -1 + 4z * -1) = 1 + -5z 6 + (2 + -4z) = 1 + -5z Combine like terms: 6 + 2 = 8 8 + -4z = 1 + -5z Solving 8 + -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. 8 + -4z + 5z = 1 + -5z + 5z Combine like terms: -4z + 5z = 1z 8 + 1z = 1 + -5z + 5z Combine like terms: -5z + 5z = 0 8 + 1z = 1 + 0 8 + 1z = 1 Add '-8' to each side of the equation. 8 + -8 + 1z = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 1 + -8 1z = 1 + -8 Combine like terms: 1 + -8 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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