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Simplifying -8 + -3(7n + 8) = 14 + 2n Reorder the terms: -8 + -3(8 + 7n) = 14 + 2n -8 + (8 * -3 + 7n * -3) = 14 + 2n -8 + (-24 + -21n) = 14 + 2n Combine like terms: -8 + -24 = -32 -32 + -21n = 14 + 2n Solving -32 + -21n = 14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -32 + -21n + -2n = 14 + 2n + -2n Combine like terms: -21n + -2n = -23n -32 + -23n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 -32 + -23n = 14 + 0 -32 + -23n = 14 Add '32' to each side of the equation. -32 + 32 + -23n = 14 + 32 Combine like terms: -32 + 32 = 0 0 + -23n = 14 + 32 -23n = 14 + 32 Combine like terms: 14 + 32 = 46 -23n = 46 Divide each side by '-23'. n = -2 Simplifying n = -2
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