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Simplifying 9 + -3(n + 6) = -7n + -5 Reorder the terms: 9 + -3(6 + n) = -7n + -5 9 + (6 * -3 + n * -3) = -7n + -5 9 + (-18 + -3n) = -7n + -5 Combine like terms: 9 + -18 = -9 -9 + -3n = -7n + -5 Reorder the terms: -9 + -3n = -5 + -7n Solving -9 + -3n = -5 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -9 + -3n + 7n = -5 + -7n + 7n Combine like terms: -3n + 7n = 4n -9 + 4n = -5 + -7n + 7n Combine like terms: -7n + 7n = 0 -9 + 4n = -5 + 0 -9 + 4n = -5 Add '9' to each side of the equation. -9 + 9 + 4n = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 4n = -5 + 9 4n = -5 + 9 Combine like terms: -5 + 9 = 4 4n = 4 Divide each side by '4'. n = 1 Simplifying n = 1
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