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Simplifying -1(5z + -7) + -1(9 + -1z) = 0 Reorder the terms: -1(-7 + 5z) + -1(9 + -1z) = 0 (-7 * -1 + 5z * -1) + -1(9 + -1z) = 0 (7 + -5z) + -1(9 + -1z) = 0 7 + -5z + (9 * -1 + -1z * -1) = 0 7 + -5z + (-9 + 1z) = 0 Reorder the terms: 7 + -9 + -5z + 1z = 0 Combine like terms: 7 + -9 = -2 -2 + -5z + 1z = 0 Combine like terms: -5z + 1z = -4z -2 + -4z = 0 Solving -2 + -4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -4z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4z = 0 + 2 -4z = 0 + 2 Combine like terms: 0 + 2 = 2 -4z = 2 Divide each side by '-4'. z = -0.5 Simplifying z = -0.5
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