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Simplifying 3(n + -3) = 5(n + -1) + 6 Reorder the terms: 3(-3 + n) = 5(n + -1) + 6 (-3 * 3 + n * 3) = 5(n + -1) + 6 (-9 + 3n) = 5(n + -1) + 6 Reorder the terms: -9 + 3n = 5(-1 + n) + 6 -9 + 3n = (-1 * 5 + n * 5) + 6 -9 + 3n = (-5 + 5n) + 6 Reorder the terms: -9 + 3n = -5 + 6 + 5n Combine like terms: -5 + 6 = 1 -9 + 3n = 1 + 5n Solving -9 + 3n = 1 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -9 + 3n + -5n = 1 + 5n + -5n Combine like terms: 3n + -5n = -2n -9 + -2n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 -9 + -2n = 1 + 0 -9 + -2n = 1 Add '9' to each side of the equation. -9 + 9 + -2n = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -2n = 1 + 9 -2n = 1 + 9 Combine like terms: 1 + 9 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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