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Simplifying 28 + -21z + 3 = -6z + -24 + -8 Reorder the terms: 28 + 3 + -21z = -6z + -24 + -8 Combine like terms: 28 + 3 = 31 31 + -21z = -6z + -24 + -8 Reorder the terms: 31 + -21z = -24 + -8 + -6z Combine like terms: -24 + -8 = -32 31 + -21z = -32 + -6z Solving 31 + -21z = -32 + -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. 31 + -21z + 6z = -32 + -6z + 6z Combine like terms: -21z + 6z = -15z 31 + -15z = -32 + -6z + 6z Combine like terms: -6z + 6z = 0 31 + -15z = -32 + 0 31 + -15z = -32 Add '-31' to each side of the equation. 31 + -31 + -15z = -32 + -31 Combine like terms: 31 + -31 = 0 0 + -15z = -32 + -31 -15z = -32 + -31 Combine like terms: -32 + -31 = -63 -15z = -63 Divide each side by '-15'. z = 4.2 Simplifying z = 4.2
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