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Simplifying 1 + -6(1z + 2) = 41 Reorder the terms: 1 + -6(2 + 1z) = 41 1 + (2 * -6 + 1z * -6) = 41 1 + (-12 + -6z) = 41 Combine like terms: 1 + -12 = -11 -11 + -6z = 41 Solving -11 + -6z = 41 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -6z = 41 + 11 Combine like terms: -11 + 11 = 0 0 + -6z = 41 + 11 -6z = 41 + 11 Combine like terms: 41 + 11 = 52 -6z = 52 Divide each side by '-6'. z = -8.666666667 Simplifying z = -8.666666667
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