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Simplifying -22 = 7 + 6(z + -3) Reorder the terms: -22 = 7 + 6(-3 + z) -22 = 7 + (-3 * 6 + z * 6) -22 = 7 + (-18 + 6z) Combine like terms: 7 + -18 = -11 -22 = -11 + 6z Solving -22 = -11 + 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. -22 + -6z = -11 + 6z + -6z Combine like terms: 6z + -6z = 0 -22 + -6z = -11 + 0 -22 + -6z = -11 Add '22' to each side of the equation. -22 + 22 + -6z = -11 + 22 Combine like terms: -22 + 22 = 0 0 + -6z = -11 + 22 -6z = -11 + 22 Combine like terms: -11 + 22 = 11 -6z = 11 Divide each side by '-6'. z = -1.833333333 Simplifying z = -1.833333333
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