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Simplifying -7 + (9n + 2) = -1(6n + 3) + -9 Reorder the terms: -7 + (2 + 9n) = -1(6n + 3) + -9 Remove parenthesis around (2 + 9n) -7 + 2 + 9n = -1(6n + 3) + -9 Combine like terms: -7 + 2 = -5 -5 + 9n = -1(6n + 3) + -9 Reorder the terms: -5 + 9n = -1(3 + 6n) + -9 -5 + 9n = (3 * -1 + 6n * -1) + -9 -5 + 9n = (-3 + -6n) + -9 Reorder the terms: -5 + 9n = -3 + -9 + -6n Combine like terms: -3 + -9 = -12 -5 + 9n = -12 + -6n Solving -5 + 9n = -12 + -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. -5 + 9n + 6n = -12 + -6n + 6n Combine like terms: 9n + 6n = 15n -5 + 15n = -12 + -6n + 6n Combine like terms: -6n + 6n = 0 -5 + 15n = -12 + 0 -5 + 15n = -12 Add '5' to each side of the equation. -5 + 5 + 15n = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 15n = -12 + 5 15n = -12 + 5 Combine like terms: -12 + 5 = -7 15n = -7 Divide each side by '15'. n = -0.4666666667 Simplifying n = -0.4666666667
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