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Simplifying n + -2n = -3(4 + 3n) + 6(n + 7) Combine like terms: n + -2n = -1n -1n = -3(4 + 3n) + 6(n + 7) -1n = (4 * -3 + 3n * -3) + 6(n + 7) -1n = (-12 + -9n) + 6(n + 7) Reorder the terms: -1n = -12 + -9n + 6(7 + n) -1n = -12 + -9n + (7 * 6 + n * 6) -1n = -12 + -9n + (42 + 6n) Reorder the terms: -1n = -12 + 42 + -9n + 6n Combine like terms: -12 + 42 = 30 -1n = 30 + -9n + 6n Combine like terms: -9n + 6n = -3n -1n = 30 + -3n Solving -1n = 30 + -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. -1n + 3n = 30 + -3n + 3n Combine like terms: -1n + 3n = 2n 2n = 30 + -3n + 3n Combine like terms: -3n + 3n = 0 2n = 30 + 0 2n = 30 Divide each side by '2'. n = 15 Simplifying n = 15
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