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Simplifying -3(7p + 6) + -2(4 + -17p) + -3(1 + 4p) = 0 Reorder the terms: -3(6 + 7p) + -2(4 + -17p) + -3(1 + 4p) = 0 (6 * -3 + 7p * -3) + -2(4 + -17p) + -3(1 + 4p) = 0 (-18 + -21p) + -2(4 + -17p) + -3(1 + 4p) = 0 -18 + -21p + (4 * -2 + -17p * -2) + -3(1 + 4p) = 0 -18 + -21p + (-8 + 34p) + -3(1 + 4p) = 0 -18 + -21p + -8 + 34p + (1 * -3 + 4p * -3) = 0 -18 + -21p + -8 + 34p + (-3 + -12p) = 0 Reorder the terms: -18 + -8 + -3 + -21p + 34p + -12p = 0 Combine like terms: -18 + -8 = -26 -26 + -3 + -21p + 34p + -12p = 0 Combine like terms: -26 + -3 = -29 -29 + -21p + 34p + -12p = 0 Combine like terms: -21p + 34p = 13p -29 + 13p + -12p = 0 Combine like terms: 13p + -12p = 1p -29 + 1p = 0 Solving -29 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1p = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1p = 0 + 29 1p = 0 + 29 Combine like terms: 0 + 29 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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