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Simplifying 3(2r + 8x) + 2(5p + 3x) + 16p = 0 (2r * 3 + 8x * 3) + 2(5p + 3x) + 16p = 0 (6r + 24x) + 2(5p + 3x) + 16p = 0 6r + 24x + (5p * 2 + 3x * 2) + 16p = 0 6r + 24x + (10p + 6x) + 16p = 0 Reorder the terms: 10p + 16p + 6r + 24x + 6x = 0 Combine like terms: 10p + 16p = 26p 26p + 6r + 24x + 6x = 0 Combine like terms: 24x + 6x = 30x 26p + 6r + 30x = 0 Solving 26p + 6r + 30x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6r' to each side of the equation. 26p + 6r + -6r + 30x = 0 + -6r Combine like terms: 6r + -6r = 0 26p + 0 + 30x = 0 + -6r 26p + 30x = 0 + -6r Remove the zero: 26p + 30x = -6r Add '-30x' to each side of the equation. 26p + 30x + -30x = -6r + -30x Combine like terms: 30x + -30x = 0 26p + 0 = -6r + -30x 26p = -6r + -30x Divide each side by '26'. p = -0.2307692308r + -1.153846154x Simplifying p = -0.2307692308r + -1.153846154x
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