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Simplifying -9(z + -4) + -1(6z + -4) = -16z Reorder the terms: -9(-4 + z) + -1(6z + -4) = -16z (-4 * -9 + z * -9) + -1(6z + -4) = -16z (36 + -9z) + -1(6z + -4) = -16z Reorder the terms: 36 + -9z + -1(-4 + 6z) = -16z 36 + -9z + (-4 * -1 + 6z * -1) = -16z 36 + -9z + (4 + -6z) = -16z Reorder the terms: 36 + 4 + -9z + -6z = -16z Combine like terms: 36 + 4 = 40 40 + -9z + -6z = -16z Combine like terms: -9z + -6z = -15z 40 + -15z = -16z Solving 40 + -15z = -16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16z' to each side of the equation. 40 + -15z + 16z = -16z + 16z Combine like terms: -15z + 16z = 1z 40 + 1z = -16z + 16z Combine like terms: -16z + 16z = 0 40 + 1z = 0 Add '-40' to each side of the equation. 40 + -40 + 1z = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 1z = 0 + -40 1z = 0 + -40 Combine like terms: 0 + -40 = -40 1z = -40 Divide each side by '1'. z = -40 Simplifying z = -40
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