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Simplifying 30 = 6(z + -80) Reorder the terms: 30 = 6(-80 + z) 30 = (-80 * 6 + z * 6) 30 = (-480 + 6z) Solving 30 = -480 + 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. 30 + -6z = -480 + 6z + -6z Combine like terms: 6z + -6z = 0 30 + -6z = -480 + 0 30 + -6z = -480 Add '-30' to each side of the equation. 30 + -30 + -6z = -480 + -30 Combine like terms: 30 + -30 = 0 0 + -6z = -480 + -30 -6z = -480 + -30 Combine like terms: -480 + -30 = -510 -6z = -510 Divide each side by '-6'. z = 85 Simplifying z = 85
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