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Simplifying 5 + 3(n + -7) = -9 + -4n Reorder the terms: 5 + 3(-7 + n) = -9 + -4n 5 + (-7 * 3 + n * 3) = -9 + -4n 5 + (-21 + 3n) = -9 + -4n Combine like terms: 5 + -21 = -16 -16 + 3n = -9 + -4n Solving -16 + 3n = -9 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -16 + 3n + 4n = -9 + -4n + 4n Combine like terms: 3n + 4n = 7n -16 + 7n = -9 + -4n + 4n Combine like terms: -4n + 4n = 0 -16 + 7n = -9 + 0 -16 + 7n = -9 Add '16' to each side of the equation. -16 + 16 + 7n = -9 + 16 Combine like terms: -16 + 16 = 0 0 + 7n = -9 + 16 7n = -9 + 16 Combine like terms: -9 + 16 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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