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