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Simplifying 232 = 4(8n + -6) Reorder the terms: 232 = 4(-6 + 8n) 232 = (-6 * 4 + 8n * 4) 232 = (-24 + 32n) Solving 232 = -24 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 232 + -32n = -24 + 32n + -32n Combine like terms: 32n + -32n = 0 232 + -32n = -24 + 0 232 + -32n = -24 Add '-232' to each side of the equation. 232 + -232 + -32n = -24 + -232 Combine like terms: 232 + -232 = 0 0 + -32n = -24 + -232 -32n = -24 + -232 Combine like terms: -24 + -232 = -256 -32n = -256 Divide each side by '-32'. n = 8 Simplifying n = 8
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