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Simplifying -7(n + 6) = 8 + -4(3n + 5) Reorder the terms: -7(6 + n) = 8 + -4(3n + 5) (6 * -7 + n * -7) = 8 + -4(3n + 5) (-42 + -7n) = 8 + -4(3n + 5) Reorder the terms: -42 + -7n = 8 + -4(5 + 3n) -42 + -7n = 8 + (5 * -4 + 3n * -4) -42 + -7n = 8 + (-20 + -12n) Combine like terms: 8 + -20 = -12 -42 + -7n = -12 + -12n Solving -42 + -7n = -12 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -42 + -7n + 12n = -12 + -12n + 12n Combine like terms: -7n + 12n = 5n -42 + 5n = -12 + -12n + 12n Combine like terms: -12n + 12n = 0 -42 + 5n = -12 + 0 -42 + 5n = -12 Add '42' to each side of the equation. -42 + 42 + 5n = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 5n = -12 + 42 5n = -12 + 42 Combine like terms: -12 + 42 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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