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Simplifying 7(9z + 8) = 19 + 6z Reorder the terms: 7(8 + 9z) = 19 + 6z (8 * 7 + 9z * 7) = 19 + 6z (56 + 63z) = 19 + 6z Solving 56 + 63z = 19 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 56 + 63z + -6z = 19 + 6z + -6z Combine like terms: 63z + -6z = 57z 56 + 57z = 19 + 6z + -6z Combine like terms: 6z + -6z = 0 56 + 57z = 19 + 0 56 + 57z = 19 Add '-56' to each side of the equation. 56 + -56 + 57z = 19 + -56 Combine like terms: 56 + -56 = 0 0 + 57z = 19 + -56 57z = 19 + -56 Combine like terms: 19 + -56 = -37 57z = -37 Divide each side by '57'. z = -0.649122807 Simplifying z = -0.649122807
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