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Simplifying -1(-7z + 1) + -9 = 4 + z Reorder the terms: -1(1 + -7z) + -9 = 4 + z (1 * -1 + -7z * -1) + -9 = 4 + z (-1 + 7z) + -9 = 4 + z Reorder the terms: -1 + -9 + 7z = 4 + z Combine like terms: -1 + -9 = -10 -10 + 7z = 4 + z Solving -10 + 7z = 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. -10 + 7z + -1z = 4 + z + -1z Combine like terms: 7z + -1z = 6z -10 + 6z = 4 + z + -1z Combine like terms: z + -1z = 0 -10 + 6z = 4 + 0 -10 + 6z = 4 Add '10' to each side of the equation. -10 + 10 + 6z = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 6z = 4 + 10 6z = 4 + 10 Combine like terms: 4 + 10 = 14 6z = 14 Divide each side by '6'. z = 2.333333333 Simplifying z = 2.333333333
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