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Simplifying -3(7p + 6) + -2(1 + -17p) = 3(1 + 4p) Reorder the terms: -3(6 + 7p) + -2(1 + -17p) = 3(1 + 4p) (6 * -3 + 7p * -3) + -2(1 + -17p) = 3(1 + 4p) (-18 + -21p) + -2(1 + -17p) = 3(1 + 4p) -18 + -21p + (1 * -2 + -17p * -2) = 3(1 + 4p) -18 + -21p + (-2 + 34p) = 3(1 + 4p) Reorder the terms: -18 + -2 + -21p + 34p = 3(1 + 4p) Combine like terms: -18 + -2 = -20 -20 + -21p + 34p = 3(1 + 4p) Combine like terms: -21p + 34p = 13p -20 + 13p = 3(1 + 4p) -20 + 13p = (1 * 3 + 4p * 3) -20 + 13p = (3 + 12p) Solving -20 + 13p = 3 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -20 + 13p + -12p = 3 + 12p + -12p Combine like terms: 13p + -12p = 1p -20 + 1p = 3 + 12p + -12p Combine like terms: 12p + -12p = 0 -20 + 1p = 3 + 0 -20 + 1p = 3 Add '20' to each side of the equation. -20 + 20 + 1p = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 3 + 20 1p = 3 + 20 Combine like terms: 3 + 20 = 23 1p = 23 Divide each side by '1'. p = 23 Simplifying p = 23
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