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Simplifying 6(2z + -3) + 3z = 22 Reorder the terms: 6(-3 + 2z) + 3z = 22 (-3 * 6 + 2z * 6) + 3z = 22 (-18 + 12z) + 3z = 22 Combine like terms: 12z + 3z = 15z -18 + 15z = 22 Solving -18 + 15z = 22 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 15z = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 15z = 22 + 18 15z = 22 + 18 Combine like terms: 22 + 18 = 40 15z = 40 Divide each side by '15'. z = 2.666666667 Simplifying z = 2.666666667
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