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Simplifying -5(6z + 2) + 2(z + -8) = 0 Reorder the terms: -5(2 + 6z) + 2(z + -8) = 0 (2 * -5 + 6z * -5) + 2(z + -8) = 0 (-10 + -30z) + 2(z + -8) = 0 Reorder the terms: -10 + -30z + 2(-8 + z) = 0 -10 + -30z + (-8 * 2 + z * 2) = 0 -10 + -30z + (-16 + 2z) = 0 Reorder the terms: -10 + -16 + -30z + 2z = 0 Combine like terms: -10 + -16 = -26 -26 + -30z + 2z = 0 Combine like terms: -30z + 2z = -28z -26 + -28z = 0 Solving -26 + -28z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -28z = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -28z = 0 + 26 -28z = 0 + 26 Combine like terms: 0 + 26 = 26 -28z = 26 Divide each side by '-28'. z = -0.9285714286 Simplifying z = -0.9285714286
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