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Simplifying 3n + 7(2n + -4) = 24n + -7 Reorder the terms: 3n + 7(-4 + 2n) = 24n + -7 3n + (-4 * 7 + 2n * 7) = 24n + -7 3n + (-28 + 14n) = 24n + -7 Reorder the terms: -28 + 3n + 14n = 24n + -7 Combine like terms: 3n + 14n = 17n -28 + 17n = 24n + -7 Reorder the terms: -28 + 17n = -7 + 24n Solving -28 + 17n = -7 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -28 + 17n + -24n = -7 + 24n + -24n Combine like terms: 17n + -24n = -7n -28 + -7n = -7 + 24n + -24n Combine like terms: 24n + -24n = 0 -28 + -7n = -7 + 0 -28 + -7n = -7 Add '28' to each side of the equation. -28 + 28 + -7n = -7 + 28 Combine like terms: -28 + 28 = 0 0 + -7n = -7 + 28 -7n = -7 + 28 Combine like terms: -7 + 28 = 21 -7n = 21 Divide each side by '-7'. n = -3 Simplifying n = -3
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