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Simplifying 9(n + -6) + 6(n) = 2(n + -2) + 126 Reorder the terms: 9(-6 + n) + 6(n) = 2(n + -2) + 126 (-6 * 9 + n * 9) + 6(n) = 2(n + -2) + 126 (-54 + 9n) + 6(n) = 2(n + -2) + 126 Combine like terms: 9n + 6n = 15n -54 + 15n = 2(n + -2) + 126 Reorder the terms: -54 + 15n = 2(-2 + n) + 126 -54 + 15n = (-2 * 2 + n * 2) + 126 -54 + 15n = (-4 + 2n) + 126 Reorder the terms: -54 + 15n = -4 + 126 + 2n Combine like terms: -4 + 126 = 122 -54 + 15n = 122 + 2n Solving -54 + 15n = 122 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -54 + 15n + -2n = 122 + 2n + -2n Combine like terms: 15n + -2n = 13n -54 + 13n = 122 + 2n + -2n Combine like terms: 2n + -2n = 0 -54 + 13n = 122 + 0 -54 + 13n = 122 Add '54' to each side of the equation. -54 + 54 + 13n = 122 + 54 Combine like terms: -54 + 54 = 0 0 + 13n = 122 + 54 13n = 122 + 54 Combine like terms: 122 + 54 = 176 13n = 176 Divide each side by '13'. n = 13.53846154 Simplifying n = 13.53846154
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