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