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Simplifying (-8 + -1z) + -1(6z + -5) = 0 Remove parenthesis 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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