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Simplifying 4z + -1(9z + 7) = -22 Reorder the terms: 4z + -1(7 + 9z) = -22 4z + (7 * -1 + 9z * -1) = -22 4z + (-7 + -9z) = -22 Reorder the terms: -7 + 4z + -9z = -22 Combine like terms: 4z + -9z = -5z -7 + -5z = -22 Solving -7 + -5z = -22 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5z = -22 + 7 Combine like terms: -7 + 7 = 0 0 + -5z = -22 + 7 -5z = -22 + 7 Combine like terms: -22 + 7 = -15 -5z = -15 Divide each side by '-5'. z = 3 Simplifying z = 3
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