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Simplifying [-1z + -8] + [6z + -5] = 0 Reorder the terms: [-8 + -1z] + [6z + -5] = 0 Remove brackets around [-8 + -1z] -8 + -1z + [6z + -5] = 0 Reorder the terms: -8 + -1z + [-5 + 6z] = 0 Remove brackets around [-5 + 6z] -8 + -1z + -5 + 6z = 0 Reorder the terms: -8 + -5 + -1z + 6z = 0 Combine like terms: -8 + -5 = -13 -13 + -1z + 6z = 0 Combine like terms: -1z + 6z = 5z -13 + 5z = 0 Solving -13 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 5z = 0 + 13 5z = 0 + 13 Combine like terms: 0 + 13 = 13 5z = 13 Divide each side by '5'. z = 2.6 Simplifying z = 2.6
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