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Simplifying 4 + (-3z) = 9 + (-6z) + 13 Reorder the terms: 4 + (-3z) = 9 + 13 + (-6z) Combine like terms: 9 + 13 = 22 4 + (-3z) = 22 + (-6z) Solving 4 + (-3z) = 22 + (-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. 4 + (-3z) + (6z) = 22 + (-6z) + (6z) Combine like terms: (-3z) + (6z) = 3z 4 + 3z = 22 + (-6z) + (6z) Combine like terms: (-6z) + (6z) = 0 4 + 3z = 22 + 0 4 + 3z = 22 Add '-4' to each side of the equation. 4 + -4 + 3z = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 22 + -4 3z = 22 + -4 Combine like terms: 22 + -4 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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