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Simplifying -12 + -16n + 4 = 3(n + -9) Reorder the terms: -12 + 4 + -16n = 3(n + -9) Combine like terms: -12 + 4 = -8 -8 + -16n = 3(n + -9) Reorder the terms: -8 + -16n = 3(-9 + n) -8 + -16n = (-9 * 3 + n * 3) -8 + -16n = (-27 + 3n) Solving -8 + -16n = -27 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -8 + -16n + -3n = -27 + 3n + -3n Combine like terms: -16n + -3n = -19n -8 + -19n = -27 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + -19n = -27 + 0 -8 + -19n = -27 Add '8' to each side of the equation. -8 + 8 + -19n = -27 + 8 Combine like terms: -8 + 8 = 0 0 + -19n = -27 + 8 -19n = -27 + 8 Combine like terms: -27 + 8 = -19 -19n = -19 Divide each side by '-19'. n = 1 Simplifying n = 1
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