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