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Simplifying 30 + -30(0.2z + -12) = 12 Reorder the terms: 30 + -30(-12 + 0.2z) = 12 30 + (-12 * -30 + 0.2z * -30) = 12 30 + (360 + -6z) = 12 Combine like terms: 30 + 360 = 390 390 + -6z = 12 Solving 390 + -6z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-390' to each side of the equation. 390 + -390 + -6z = 12 + -390 Combine like terms: 390 + -390 = 0 0 + -6z = 12 + -390 -6z = 12 + -390 Combine like terms: 12 + -390 = -378 -6z = -378 Divide each side by '-6'. z = 63 Simplifying z = 63
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