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Simplifying 5(-2 + -7n) = -39 + -6n (-2 * 5 + -7n * 5) = -39 + -6n (-10 + -35n) = -39 + -6n Solving -10 + -35n = -39 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -10 + -35n + 6n = -39 + -6n + 6n Combine like terms: -35n + 6n = -29n -10 + -29n = -39 + -6n + 6n Combine like terms: -6n + 6n = 0 -10 + -29n = -39 + 0 -10 + -29n = -39 Add '10' to each side of the equation. -10 + 10 + -29n = -39 + 10 Combine like terms: -10 + 10 = 0 0 + -29n = -39 + 10 -29n = -39 + 10 Combine like terms: -39 + 10 = -29 -29n = -29 Divide each side by '-29'. n = 1 Simplifying n = 1
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