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Simplifying -9n + -7n = -9(n + -4) + -9(n + 4) Combine like terms: -9n + -7n = -16n -16n = -9(n + -4) + -9(n + 4) Reorder the terms: -16n = -9(-4 + n) + -9(n + 4) -16n = (-4 * -9 + n * -9) + -9(n + 4) -16n = (36 + -9n) + -9(n + 4) Reorder the terms: -16n = 36 + -9n + -9(4 + n) -16n = 36 + -9n + (4 * -9 + n * -9) -16n = 36 + -9n + (-36 + -9n) Reorder the terms: -16n = 36 + -36 + -9n + -9n Combine like terms: 36 + -36 = 0 -16n = 0 + -9n + -9n -16n = -9n + -9n Combine like terms: -9n + -9n = -18n -16n = -18n Solving -16n = -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -16n + 18n = -18n + 18n Combine like terms: -16n + 18n = 2n 2n = -18n + 18n Combine like terms: -18n + 18n = 0 2n = 0 Divide each side by '2'. n = 0 Simplifying n = 0
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