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Simplifying -1(-1z + 11) + -6(3 + -12z) = 0 Reorder the terms: -1(11 + -1z) + -6(3 + -12z) = 0 (11 * -1 + -1z * -1) + -6(3 + -12z) = 0 (-11 + 1z) + -6(3 + -12z) = 0 -11 + 1z + (3 * -6 + -12z * -6) = 0 -11 + 1z + (-18 + 72z) = 0 Reorder the terms: -11 + -18 + 1z + 72z = 0 Combine like terms: -11 + -18 = -29 -29 + 1z + 72z = 0 Combine like terms: 1z + 72z = 73z -29 + 73z = 0 Solving -29 + 73z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 73z = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 73z = 0 + 29 73z = 0 + 29 Combine like terms: 0 + 29 = 29 73z = 29 Divide each side by '73'. z = 0.397260274 Simplifying z = 0.397260274
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