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Simplifying 4n + -32 = 6(8 + -6n) Reorder the terms: -32 + 4n = 6(8 + -6n) -32 + 4n = (8 * 6 + -6n * 6) -32 + 4n = (48 + -36n) Solving -32 + 4n = 48 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -32 + 4n + 36n = 48 + -36n + 36n Combine like terms: 4n + 36n = 40n -32 + 40n = 48 + -36n + 36n Combine like terms: -36n + 36n = 0 -32 + 40n = 48 + 0 -32 + 40n = 48 Add '32' to each side of the equation. -32 + 32 + 40n = 48 + 32 Combine like terms: -32 + 32 = 0 0 + 40n = 48 + 32 40n = 48 + 32 Combine like terms: 48 + 32 = 80 40n = 80 Divide each side by '40'. n = 2 Simplifying n = 2
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