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Simplifying 4(2n + 5p) + -4(3n + -6p) = 4n + -4p (2n * 4 + 5p * 4) + -4(3n + -6p) = 4n + -4p (8n + 20p) + -4(3n + -6p) = 4n + -4p 8n + 20p + (3n * -4 + -6p * -4) = 4n + -4p 8n + 20p + (-12n + 24p) = 4n + -4p Reorder the terms: 8n + -12n + 20p + 24p = 4n + -4p Combine like terms: 8n + -12n = -4n -4n + 20p + 24p = 4n + -4p Combine like terms: 20p + 24p = 44p -4n + 44p = 4n + -4p Solving -4n + 44p = 4n + -4p Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -4n + -4n + 44p = 4n + -4n + -4p Combine like terms: -4n + -4n = -8n -8n + 44p = 4n + -4n + -4p Combine like terms: 4n + -4n = 0 -8n + 44p = 0 + -4p -8n + 44p = -4p Add '-44p' to each side of the equation. -8n + 44p + -44p = -4p + -44p Combine like terms: 44p + -44p = 0 -8n + 0 = -4p + -44p -8n = -4p + -44p Combine like terms: -4p + -44p = -48p -8n = -48p Divide each side by '-8'. n = 6p Simplifying n = 6p
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