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Simplifying 0 = 15(6z + -3) + 3(4 + 2z) Reorder the terms: 0 = 15(-3 + 6z) + 3(4 + 2z) 0 = (-3 * 15 + 6z * 15) + 3(4 + 2z) 0 = (-45 + 90z) + 3(4 + 2z) 0 = -45 + 90z + (4 * 3 + 2z * 3) 0 = -45 + 90z + (12 + 6z) Reorder the terms: 0 = -45 + 12 + 90z + 6z Combine like terms: -45 + 12 = -33 0 = -33 + 90z + 6z Combine like terms: 90z + 6z = 96z 0 = -33 + 96z Solving 0 = -33 + 96z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-96z' to each side of the equation. 0 + -96z = -33 + 96z + -96z Remove the zero: -96z = -33 + 96z + -96z Combine like terms: 96z + -96z = 0 -96z = -33 + 0 -96z = -33 Divide each side by '-96'. z = 0.34375 Simplifying z = 0.34375
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