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Simplifying 22 + -3(2 + 1) = (5z + 3) + z Combine like terms: 2 + 1 = 3 22 + -3(3) = (5z + 3) + z Multiply -3 * 3 22 + -9 = (5z + 3) + z Combine like terms: 22 + -9 = 13 13 = (5z + 3) + z Reorder the terms: 13 = (3 + 5z) + z Remove parenthesis around (3 + 5z) 13 = 3 + 5z + z Combine like terms: 5z + z = 6z 13 = 3 + 6z Solving 13 = 3 + 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. 13 + -6z = 3 + 6z + -6z Combine like terms: 6z + -6z = 0 13 + -6z = 3 + 0 13 + -6z = 3 Add '-13' to each side of the equation. 13 + -13 + -6z = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -6z = 3 + -13 -6z = 3 + -13 Combine like terms: 3 + -13 = -10 -6z = -10 Divide each side by '-6'. z = 1.666666667 Simplifying z = 1.666666667
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