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Simplifying 5(n + -4) + -7(3n + 7) = 27 Reorder the terms: 5(-4 + n) + -7(3n + 7) = 27 (-4 * 5 + n * 5) + -7(3n + 7) = 27 (-20 + 5n) + -7(3n + 7) = 27 Reorder the terms: -20 + 5n + -7(7 + 3n) = 27 -20 + 5n + (7 * -7 + 3n * -7) = 27 -20 + 5n + (-49 + -21n) = 27 Reorder the terms: -20 + -49 + 5n + -21n = 27 Combine like terms: -20 + -49 = -69 -69 + 5n + -21n = 27 Combine like terms: 5n + -21n = -16n -69 + -16n = 27 Solving -69 + -16n = 27 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + -16n = 27 + 69 Combine like terms: -69 + 69 = 0 0 + -16n = 27 + 69 -16n = 27 + 69 Combine like terms: 27 + 69 = 96 -16n = 96 Divide each side by '-16'. n = -6 Simplifying n = -6
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