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Simplifying -4(2z + 8) + -1(3 + 6z) = 0 Reorder the terms: -4(8 + 2z) + -1(3 + 6z) = 0 (8 * -4 + 2z * -4) + -1(3 + 6z) = 0 (-32 + -8z) + -1(3 + 6z) = 0 -32 + -8z + (3 * -1 + 6z * -1) = 0 -32 + -8z + (-3 + -6z) = 0 Reorder the terms: -32 + -3 + -8z + -6z = 0 Combine like terms: -32 + -3 = -35 -35 + -8z + -6z = 0 Combine like terms: -8z + -6z = -14z -35 + -14z = 0 Solving -35 + -14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -14z = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -14z = 0 + 35 -14z = 0 + 35 Combine like terms: 0 + 35 = 35 -14z = 35 Divide each side by '-14'. z = -2.5 Simplifying z = -2.5
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