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Simplifying 5(-2 + 5n) + -2(n + -1) = -54 (-2 * 5 + 5n * 5) + -2(n + -1) = -54 (-10 + 25n) + -2(n + -1) = -54 Reorder the terms: -10 + 25n + -2(-1 + n) = -54 -10 + 25n + (-1 * -2 + n * -2) = -54 -10 + 25n + (2 + -2n) = -54 Reorder the terms: -10 + 2 + 25n + -2n = -54 Combine like terms: -10 + 2 = -8 -8 + 25n + -2n = -54 Combine like terms: 25n + -2n = 23n -8 + 23n = -54 Solving -8 + 23n = -54 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 23n = -54 + 8 Combine like terms: -8 + 8 = 0 0 + 23n = -54 + 8 23n = -54 + 8 Combine like terms: -54 + 8 = -46 23n = -46 Divide each side by '23'. n = -2 Simplifying n = -2
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