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Simplifying 0 = -1(4z + -50) + -1(-16z + 15) Reorder the terms: 0 = -1(-50 + 4z) + -1(-16z + 15) 0 = (-50 * -1 + 4z * -1) + -1(-16z + 15) 0 = (50 + -4z) + -1(-16z + 15) Reorder the terms: 0 = 50 + -4z + -1(15 + -16z) 0 = 50 + -4z + (15 * -1 + -16z * -1) 0 = 50 + -4z + (-15 + 16z) Reorder the terms: 0 = 50 + -15 + -4z + 16z Combine like terms: 50 + -15 = 35 0 = 35 + -4z + 16z Combine like terms: -4z + 16z = 12z 0 = 35 + 12z Solving 0 = 35 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 0 + -12z = 35 + 12z + -12z Remove the zero: -12z = 35 + 12z + -12z Combine like terms: 12z + -12z = 0 -12z = 35 + 0 -12z = 35 Divide each side by '-12'. z = -2.916666667 Simplifying z = -2.916666667
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