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Simplifying -1 + 4n = -3(7n + 8) + 2n Reorder the terms: -1 + 4n = -3(8 + 7n) + 2n -1 + 4n = (8 * -3 + 7n * -3) + 2n -1 + 4n = (-24 + -21n) + 2n Combine like terms: -21n + 2n = -19n -1 + 4n = -24 + -19n Solving -1 + 4n = -24 + -19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19n' to each side of the equation. -1 + 4n + 19n = -24 + -19n + 19n Combine like terms: 4n + 19n = 23n -1 + 23n = -24 + -19n + 19n Combine like terms: -19n + 19n = 0 -1 + 23n = -24 + 0 -1 + 23n = -24 Add '1' to each side of the equation. -1 + 1 + 23n = -24 + 1 Combine like terms: -1 + 1 = 0 0 + 23n = -24 + 1 23n = -24 + 1 Combine like terms: -24 + 1 = -23 23n = -23 Divide each side by '23'. n = -1 Simplifying n = -1
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