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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 = 10n -2 + 10n = -15n + -302 Reorder the terms: -2 + 10n = -302 + -15n Solving -2 + 10n = -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 + 10n + 15n = -302 + -15n + 15n Combine like terms: 10n + 15n = 25n -2 + 25n = -302 + -15n + 15n Combine like terms: -15n + 15n = 0 -2 + 25n = -302 + 0 -2 + 25n = -302 Add '2' to each side of the equation. -2 + 2 + 25n = -302 + 2 Combine like terms: -2 + 2 = 0 0 + 25n = -302 + 2 25n = -302 + 2 Combine like terms: -302 + 2 = -300 25n = -300 Divide each side by '25'. n = -12 Simplifying n = -12
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