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Simplifying 9 + -3(n + 4) + -1n = -7 Reorder the terms: 9 + -3(4 + n) + -1n = -7 9 + (4 * -3 + n * -3) + -1n = -7 9 + (-12 + -3n) + -1n = -7 Combine like terms: 9 + -12 = -3 -3 + -3n + -1n = -7 Combine like terms: -3n + -1n = -4n -3 + -4n = -7 Solving -3 + -4n = -7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4n = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -4n = -7 + 3 -4n = -7 + 3 Combine like terms: -7 + 3 = -4 -4n = -4 Divide each side by '-4'. n = 1 Simplifying n = 1
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