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Simplifying -2(3z + 8) + 2(z + -5) = 0 Reorder the terms: -2(8 + 3z) + 2(z + -5) = 0 (8 * -2 + 3z * -2) + 2(z + -5) = 0 (-16 + -6z) + 2(z + -5) = 0 Reorder the terms: -16 + -6z + 2(-5 + z) = 0 -16 + -6z + (-5 * 2 + z * 2) = 0 -16 + -6z + (-10 + 2z) = 0 Reorder the terms: -16 + -10 + -6z + 2z = 0 Combine like terms: -16 + -10 = -26 -26 + -6z + 2z = 0 Combine like terms: -6z + 2z = -4z -26 + -4z = 0 Solving -26 + -4z = 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 + -4z = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -4z = 0 + 26 -4z = 0 + 26 Combine like terms: 0 + 26 = 26 -4z = 26 Divide each side by '-4'. z = -6.5 Simplifying z = -6.5
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