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Simplifying 12 + 3(n + -5) = 2(N + 1) + -1N + -7 Reorder the terms: 12 + 3(-5 + n) = 2(N + 1) + -1N + -7 12 + (-5 * 3 + n * 3) = 2(N + 1) + -1N + -7 12 + (-15 + 3n) = 2(N + 1) + -1N + -7 Combine like terms: 12 + -15 = -3 -3 + 3n = 2(N + 1) + -1N + -7 Reorder the terms: -3 + 3n = 2(1 + N) + -1N + -7 -3 + 3n = (1 * 2 + N * 2) + -1N + -7 -3 + 3n = (2 + 2N) + -1N + -7 Reorder the terms: -3 + 3n = 2 + -7 + 2N + -1N Combine like terms: 2 + -7 = -5 -3 + 3n = -5 + 2N + -1N Combine like terms: 2N + -1N = 1N -3 + 3n = -5 + 1N Solving -3 + 3n = -5 + 1N 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 + 3n = -5 + 3 + 1N Combine like terms: -3 + 3 = 0 0 + 3n = -5 + 3 + 1N 3n = -5 + 3 + 1N Combine like terms: -5 + 3 = -2 3n = -2 + 1N Divide each side by '3'. n = -0.6666666667 + 0.3333333333N Simplifying n = -0.6666666667 + 0.3333333333N
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