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Simplifying 5n + -5 + 6 = -1(3n + 4) + -1(9n + 12) Reorder the terms: -5 + 6 + 5n = -1(3n + 4) + -1(9n + 12) Combine like terms: -5 + 6 = 1 1 + 5n = -1(3n + 4) + -1(9n + 12) Reorder the terms: 1 + 5n = -1(4 + 3n) + -1(9n + 12) 1 + 5n = (4 * -1 + 3n * -1) + -1(9n + 12) 1 + 5n = (-4 + -3n) + -1(9n + 12) Reorder the terms: 1 + 5n = -4 + -3n + -1(12 + 9n) 1 + 5n = -4 + -3n + (12 * -1 + 9n * -1) 1 + 5n = -4 + -3n + (-12 + -9n) Reorder the terms: 1 + 5n = -4 + -12 + -3n + -9n Combine like terms: -4 + -12 = -16 1 + 5n = -16 + -3n + -9n Combine like terms: -3n + -9n = -12n 1 + 5n = -16 + -12n Solving 1 + 5n = -16 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 1 + 5n + 12n = -16 + -12n + 12n Combine like terms: 5n + 12n = 17n 1 + 17n = -16 + -12n + 12n Combine like terms: -12n + 12n = 0 1 + 17n = -16 + 0 1 + 17n = -16 Add '-1' to each side of the equation. 1 + -1 + 17n = -16 + -1 Combine like terms: 1 + -1 = 0 0 + 17n = -16 + -1 17n = -16 + -1 Combine like terms: -16 + -1 = -17 17n = -17 Divide each side by '17'. n = -1 Simplifying n = -1
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