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Simplifying 4(-86z + 99) = -6(69z + -7) + 71z Reorder the terms: 4(99 + -86z) = -6(69z + -7) + 71z (99 * 4 + -86z * 4) = -6(69z + -7) + 71z (396 + -344z) = -6(69z + -7) + 71z Reorder the terms: 396 + -344z = -6(-7 + 69z) + 71z 396 + -344z = (-7 * -6 + 69z * -6) + 71z 396 + -344z = (42 + -414z) + 71z Combine like terms: -414z + 71z = -343z 396 + -344z = 42 + -343z Solving 396 + -344z = 42 + -343z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '343z' to each side of the equation. 396 + -344z + 343z = 42 + -343z + 343z Combine like terms: -344z + 343z = -1z 396 + -1z = 42 + -343z + 343z Combine like terms: -343z + 343z = 0 396 + -1z = 42 + 0 396 + -1z = 42 Add '-396' to each side of the equation. 396 + -396 + -1z = 42 + -396 Combine like terms: 396 + -396 = 0 0 + -1z = 42 + -396 -1z = 42 + -396 Combine like terms: 42 + -396 = -354 -1z = -354 Divide each side by '-1'. z = 354 Simplifying z = 354
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