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Simplifying 7n + 2(n + -3) + 4 = 44 + -100 Reorder the terms: 7n + 2(-3 + n) + 4 = 44 + -100 7n + (-3 * 2 + n * 2) + 4 = 44 + -100 7n + (-6 + 2n) + 4 = 44 + -100 Reorder the terms: -6 + 4 + 7n + 2n = 44 + -100 Combine like terms: -6 + 4 = -2 -2 + 7n + 2n = 44 + -100 Combine like terms: 7n + 2n = 9n -2 + 9n = 44 + -100 Combine like terms: 44 + -100 = -56 -2 + 9n = -56 Solving -2 + 9n = -56 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9n = -56 + 2 Combine like terms: -2 + 2 = 0 0 + 9n = -56 + 2 9n = -56 + 2 Combine like terms: -56 + 2 = -54 9n = -54 Divide each side by '9'. n = -6 Simplifying n = -6
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