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Simplifying -3(n + 5) + -5(n + 3) = 1 + -3n + 1 + -5n Reorder the terms: -3(5 + n) + -5(n + 3) = 1 + -3n + 1 + -5n (5 * -3 + n * -3) + -5(n + 3) = 1 + -3n + 1 + -5n (-15 + -3n) + -5(n + 3) = 1 + -3n + 1 + -5n Reorder the terms: -15 + -3n + -5(3 + n) = 1 + -3n + 1 + -5n -15 + -3n + (3 * -5 + n * -5) = 1 + -3n + 1 + -5n -15 + -3n + (-15 + -5n) = 1 + -3n + 1 + -5n Reorder the terms: -15 + -15 + -3n + -5n = 1 + -3n + 1 + -5n Combine like terms: -15 + -15 = -30 -30 + -3n + -5n = 1 + -3n + 1 + -5n Combine like terms: -3n + -5n = -8n -30 + -8n = 1 + -3n + 1 + -5n Reorder the terms: -30 + -8n = 1 + 1 + -3n + -5n Combine like terms: 1 + 1 = 2 -30 + -8n = 2 + -3n + -5n Combine like terms: -3n + -5n = -8n -30 + -8n = 2 + -8n Add '8n' to each side of the equation. -30 + -8n + 8n = 2 + -8n + 8n Combine like terms: -8n + 8n = 0 -30 + 0 = 2 + -8n + 8n -30 = 2 + -8n + 8n Combine like terms: -8n + 8n = 0 -30 = 2 + 0 -30 = 2 Solving -30 = 2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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