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Simplifying -1(2z + 1) = -4(-9 + -8z) Reorder the terms: -1(1 + 2z) = -4(-9 + -8z) (1 * -1 + 2z * -1) = -4(-9 + -8z) (-1 + -2z) = -4(-9 + -8z) -1 + -2z = (-9 * -4 + -8z * -4) -1 + -2z = (36 + 32z) Solving -1 + -2z = 36 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. -1 + -2z + -32z = 36 + 32z + -32z Combine like terms: -2z + -32z = -34z -1 + -34z = 36 + 32z + -32z Combine like terms: 32z + -32z = 0 -1 + -34z = 36 + 0 -1 + -34z = 36 Add '1' to each side of the equation. -1 + 1 + -34z = 36 + 1 Combine like terms: -1 + 1 = 0 0 + -34z = 36 + 1 -34z = 36 + 1 Combine like terms: 36 + 1 = 37 -34z = 37 Divide each side by '-34'. z = -1.088235294 Simplifying z = -1.088235294
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