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Simplifying -7(-7z + 1) + -9 = 4 + z Reorder the terms: -7(1 + -7z) + -9 = 4 + z (1 * -7 + -7z * -7) + -9 = 4 + z (-7 + 49z) + -9 = 4 + z Reorder the terms: -7 + -9 + 49z = 4 + z Combine like terms: -7 + -9 = -16 -16 + 49z = 4 + z Solving -16 + 49z = 4 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -16 + 49z + -1z = 4 + z + -1z Combine like terms: 49z + -1z = 48z -16 + 48z = 4 + z + -1z Combine like terms: z + -1z = 0 -16 + 48z = 4 + 0 -16 + 48z = 4 Add '16' to each side of the equation. -16 + 16 + 48z = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 48z = 4 + 16 48z = 4 + 16 Combine like terms: 4 + 16 = 20 48z = 20 Divide each side by '48'. z = 0.4166666667 Simplifying z = 0.4166666667
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