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Simplifying -6(8n + 7) = 6(7 + -6n) Reorder the terms: -6(7 + 8n) = 6(7 + -6n) (7 * -6 + 8n * -6) = 6(7 + -6n) (-42 + -48n) = 6(7 + -6n) -42 + -48n = (7 * 6 + -6n * 6) -42 + -48n = (42 + -36n) Solving -42 + -48n = 42 + -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. -42 + -48n + 36n = 42 + -36n + 36n Combine like terms: -48n + 36n = -12n -42 + -12n = 42 + -36n + 36n Combine like terms: -36n + 36n = 0 -42 + -12n = 42 + 0 -42 + -12n = 42 Add '42' to each side of the equation. -42 + 42 + -12n = 42 + 42 Combine like terms: -42 + 42 = 0 0 + -12n = 42 + 42 -12n = 42 + 42 Combine like terms: 42 + 42 = 84 -12n = 84 Divide each side by '-12'. n = -7 Simplifying n = -7
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