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Simplifying 12 = 6(z + -85) Reorder the terms: 12 = 6(-85 + z) 12 = (-85 * 6 + z * 6) 12 = (-510 + 6z) Solving 12 = -510 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + -6z = -510 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + -6z = -510 + 0 12 + -6z = -510 Add '-12' to each side of the equation. 12 + -12 + -6z = -510 + -12 Combine like terms: 12 + -12 = 0 0 + -6z = -510 + -12 -6z = -510 + -12 Combine like terms: -510 + -12 = -522 -6z = -522 Divide each side by '-6'. z = 87 Simplifying z = 87
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