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Simplifying 9(z + -7) = 4(z + 8) + -5 Reorder the terms: 9(-7 + z) = 4(z + 8) + -5 (-7 * 9 + z * 9) = 4(z + 8) + -5 (-63 + 9z) = 4(z + 8) + -5 Reorder the terms: -63 + 9z = 4(8 + z) + -5 -63 + 9z = (8 * 4 + z * 4) + -5 -63 + 9z = (32 + 4z) + -5 Reorder the terms: -63 + 9z = 32 + -5 + 4z Combine like terms: 32 + -5 = 27 -63 + 9z = 27 + 4z Solving -63 + 9z = 27 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -63 + 9z + -4z = 27 + 4z + -4z Combine like terms: 9z + -4z = 5z -63 + 5z = 27 + 4z + -4z Combine like terms: 4z + -4z = 0 -63 + 5z = 27 + 0 -63 + 5z = 27 Add '63' to each side of the equation. -63 + 63 + 5z = 27 + 63 Combine like terms: -63 + 63 = 0 0 + 5z = 27 + 63 5z = 27 + 63 Combine like terms: 27 + 63 = 90 5z = 90 Divide each side by '5'. z = 18 Simplifying z = 18
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