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Simplifying -5(3p + n) + 3p + -15 = -12p + -10 Reorder the terms: -5(n + 3p) + 3p + -15 = -12p + -10 (n * -5 + 3p * -5) + 3p + -15 = -12p + -10 (-5n + -15p) + 3p + -15 = -12p + -10 Reorder the terms: -15 + -5n + -15p + 3p = -12p + -10 Combine like terms: -15p + 3p = -12p -15 + -5n + -12p = -12p + -10 Reorder the terms: -15 + -5n + -12p = -10 + -12p Add '12p' to each side of the equation. -15 + -5n + -12p + 12p = -10 + -12p + 12p Combine like terms: -12p + 12p = 0 -15 + -5n + 0 = -10 + -12p + 12p -15 + -5n = -10 + -12p + 12p Combine like terms: -12p + 12p = 0 -15 + -5n = -10 + 0 -15 + -5n = -10 Solving -15 + -5n = -10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -5n = -10 + 15 Combine like terms: -15 + 15 = 0 0 + -5n = -10 + 15 -5n = -10 + 15 Combine like terms: -10 + 15 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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