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Simplifying -10 + 15x + 11p + -4x + -5p + -21 = 0 Reorder the terms: -10 + -21 + 11p + -5p + 15x + -4x = 0 Combine like terms: -10 + -21 = -31 -31 + 11p + -5p + 15x + -4x = 0 Combine like terms: 11p + -5p = 6p -31 + 6p + 15x + -4x = 0 Combine like terms: 15x + -4x = 11x -31 + 6p + 11x = 0 Solving -31 + 6p + 11x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 6p + 31 + 11x = 0 + 31 Reorder the terms: -31 + 31 + 6p + 11x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 6p + 11x = 0 + 31 6p + 11x = 0 + 31 Combine like terms: 0 + 31 = 31 6p + 11x = 31 Add '-11x' to each side of the equation. 6p + 11x + -11x = 31 + -11x Combine like terms: 11x + -11x = 0 6p + 0 = 31 + -11x 6p = 31 + -11x Divide each side by '6'. p = 5.166666667 + -1.833333333x Simplifying p = 5.166666667 + -1.833333333x
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