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Simplifying -3(n + 2) + 3 = -5(n + 1) Reorder the terms: -3(2 + n) + 3 = -5(n + 1) (2 * -3 + n * -3) + 3 = -5(n + 1) (-6 + -3n) + 3 = -5(n + 1) Reorder the terms: -6 + 3 + -3n = -5(n + 1) Combine like terms: -6 + 3 = -3 -3 + -3n = -5(n + 1) Reorder the terms: -3 + -3n = -5(1 + n) -3 + -3n = (1 * -5 + n * -5) -3 + -3n = (-5 + -5n) Solving -3 + -3n = -5 + -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. -3 + -3n + 5n = -5 + -5n + 5n Combine like terms: -3n + 5n = 2n -3 + 2n = -5 + -5n + 5n Combine like terms: -5n + 5n = 0 -3 + 2n = -5 + 0 -3 + 2n = -5 Add '3' to each side of the equation. -3 + 3 + 2n = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = -5 + 3 2n = -5 + 3 Combine like terms: -5 + 3 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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