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Simplifying 8(3 + 2z) + -3z = 5z + -8 (3 * 8 + 2z * 8) + -3z = 5z + -8 (24 + 16z) + -3z = 5z + -8 Combine like terms: 16z + -3z = 13z 24 + 13z = 5z + -8 Reorder the terms: 24 + 13z = -8 + 5z Solving 24 + 13z = -8 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 24 + 13z + -5z = -8 + 5z + -5z Combine like terms: 13z + -5z = 8z 24 + 8z = -8 + 5z + -5z Combine like terms: 5z + -5z = 0 24 + 8z = -8 + 0 24 + 8z = -8 Add '-24' to each side of the equation. 24 + -24 + 8z = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 8z = -8 + -24 8z = -8 + -24 Combine like terms: -8 + -24 = -32 8z = -32 Divide each side by '8'. z = -4 Simplifying z = -4
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