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Simplifying 7n + 3p + 1 = 5n + 5p Reorder the terms: 1 + 7n + 3p = 5n + 5p Solving 1 + 7n + 3p = 5n + 5p 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. 1 + 7n + -5n + 3p = 5n + -5n + 5p Combine like terms: 7n + -5n = 2n 1 + 2n + 3p = 5n + -5n + 5p Combine like terms: 5n + -5n = 0 1 + 2n + 3p = 0 + 5p 1 + 2n + 3p = 5p Add '-1' to each side of the equation. 1 + 2n + -1 + 3p = -1 + 5p Reorder the terms: 1 + -1 + 2n + 3p = -1 + 5p Combine like terms: 1 + -1 = 0 0 + 2n + 3p = -1 + 5p 2n + 3p = -1 + 5p Add '-3p' to each side of the equation. 2n + 3p + -3p = -1 + 5p + -3p Combine like terms: 3p + -3p = 0 2n + 0 = -1 + 5p + -3p 2n = -1 + 5p + -3p Combine like terms: 5p + -3p = 2p 2n = -1 + 2p Divide each side by '2'. n = -0.5 + p Simplifying n = -0.5 + p
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