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Simplifying -22 = 4 + 3(z + 9) Reorder the terms: -22 = 4 + 3(9 + z) -22 = 4 + (9 * 3 + z * 3) -22 = 4 + (27 + 3z) Combine like terms: 4 + 27 = 31 -22 = 31 + 3z Solving -22 = 31 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -22 + -3z = 31 + 3z + -3z Combine like terms: 3z + -3z = 0 -22 + -3z = 31 + 0 -22 + -3z = 31 Add '22' to each side of the equation. -22 + 22 + -3z = 31 + 22 Combine like terms: -22 + 22 = 0 0 + -3z = 31 + 22 -3z = 31 + 22 Combine like terms: 31 + 22 = 53 -3z = 53 Divide each side by '-3'. z = -17.66666667 Simplifying z = -17.66666667
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