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Simplifying -7(2n + 9) = 13n Reorder the terms: -7(9 + 2n) = 13n (9 * -7 + 2n * -7) = 13n (-63 + -14n) = 13n Solving -63 + -14n = 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -63 + -14n + -13n = 13n + -13n Combine like terms: -14n + -13n = -27n -63 + -27n = 13n + -13n Combine like terms: 13n + -13n = 0 -63 + -27n = 0 Add '63' to each side of the equation. -63 + 63 + -27n = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -27n = 0 + 63 -27n = 0 + 63 Combine like terms: 0 + 63 = 63 -27n = 63 Divide each side by '-27'. n = -2.333333333 Simplifying n = -2.333333333
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