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Simplifying 5 + (-6) + 3z = -20 5 + -6 + 3z = -20 Combine like terms: 5 + -6 = -1 -1 + 3z = -20 Solving -1 + 3z = -20 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3z = -20 + 1 Combine like terms: -1 + 1 = 0 0 + 3z = -20 + 1 3z = -20 + 1 Combine like terms: -20 + 1 = -19 3z = -19 Divide each side by '3'. z = -6.333333333 Simplifying z = -6.333333333
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