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Simplifying -5n + -7(6n + 7) = 378 Reorder the terms: -5n + -7(7 + 6n) = 378 -5n + (7 * -7 + 6n * -7) = 378 -5n + (-49 + -42n) = 378 Reorder the terms: -49 + -5n + -42n = 378 Combine like terms: -5n + -42n = -47n -49 + -47n = 378 Solving -49 + -47n = 378 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -47n = 378 + 49 Combine like terms: -49 + 49 = 0 0 + -47n = 378 + 49 -47n = 378 + 49 Combine like terms: 378 + 49 = 427 -47n = 427 Divide each side by '-47'. n = -9.085106383 Simplifying n = -9.085106383
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