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Simplifying [-1z + -8] + -1[6z + -5] = 0 Reorder the terms: [-8 + -1z] + -1[6z + -5] = 0 Remove brackets around [-8 + -1z] -8 + -1z + -1[6z + -5] = 0 Reorder the terms: -8 + -1z + -1[-5 + 6z] = 0 -8 + -1z + [-5 * -1 + 6z * -1] = 0 -8 + -1z + [5 + -6z] = 0 Reorder the terms: -8 + 5 + -1z + -6z = 0 Combine like terms: -8 + 5 = -3 -3 + -1z + -6z = 0 Combine like terms: -1z + -6z = -7z -3 + -7z = 0 Solving -3 + -7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7z = 0 + 3 -7z = 0 + 3 Combine like terms: 0 + 3 = 3 -7z = 3 Divide each side by '-7'. z = -0.4285714286 Simplifying z = -0.4285714286
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