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Simplifying 8(-4 + -6n) + -6n = 292 (-4 * 8 + -6n * 8) + -6n = 292 (-32 + -48n) + -6n = 292 Combine like terms: -48n + -6n = -54n -32 + -54n = 292 Solving -32 + -54n = 292 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -54n = 292 + 32 Combine like terms: -32 + 32 = 0 0 + -54n = 292 + 32 -54n = 292 + 32 Combine like terms: 292 + 32 = 324 -54n = 324 Divide each side by '-54'. n = -6 Simplifying n = -6
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