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Simplifying 7 + -1(n + 8) = 9 + 4n Reorder the terms: 7 + -1(8 + n) = 9 + 4n 7 + (8 * -1 + n * -1) = 9 + 4n 7 + (-8 + -1n) = 9 + 4n Combine like terms: 7 + -8 = -1 -1 + -1n = 9 + 4n Solving -1 + -1n = 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. -1 + -1n + -4n = 9 + 4n + -4n Combine like terms: -1n + -4n = -5n -1 + -5n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 -1 + -5n = 9 + 0 -1 + -5n = 9 Add '1' to each side of the equation. -1 + 1 + -5n = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -5n = 9 + 1 -5n = 9 + 1 Combine like terms: 9 + 1 = 10 -5n = 10 Divide each side by '-5'. n = -2 Simplifying n = -2
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