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Simplifying (4n + 5) + -1(6n + 7) = -15n + -302 Reorder the terms: (5 + 4n) + -1(6n + 7) = -15n + -302 Remove parenthesis around (5 + 4n) 5 + 4n + -1(6n + 7) = -15n + -302 Reorder the terms: 5 + 4n + -1(7 + 6n) = -15n + -302 5 + 4n + (7 * -1 + 6n * -1) = -15n + -302 5 + 4n + (-7 + -6n) = -15n + -302 Reorder the terms: 5 + -7 + 4n + -6n = -15n + -302 Combine like terms: 5 + -7 = -2 -2 + 4n + -6n = -15n + -302 Combine like terms: 4n + -6n = -2n -2 + -2n = -15n + -302 Reorder the terms: -2 + -2n = -302 + -15n Solving -2 + -2n = -302 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -2 + -2n + 15n = -302 + -15n + 15n Combine like terms: -2n + 15n = 13n -2 + 13n = -302 + -15n + 15n Combine like terms: -15n + 15n = 0 -2 + 13n = -302 + 0 -2 + 13n = -302 Add '2' to each side of the equation. -2 + 2 + 13n = -302 + 2 Combine like terms: -2 + 2 = 0 0 + 13n = -302 + 2 13n = -302 + 2 Combine like terms: -302 + 2 = -300 13n = -300 Divide each side by '13'. n = -23.07692308 Simplifying n = -23.07692308
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