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Simplifying -3(7p + 6) + -2(3 + -17p) = 3(2 + 4p) Reorder the terms: -3(6 + 7p) + -2(3 + -17p) = 3(2 + 4p) (6 * -3 + 7p * -3) + -2(3 + -17p) = 3(2 + 4p) (-18 + -21p) + -2(3 + -17p) = 3(2 + 4p) -18 + -21p + (3 * -2 + -17p * -2) = 3(2 + 4p) -18 + -21p + (-6 + 34p) = 3(2 + 4p) Reorder the terms: -18 + -6 + -21p + 34p = 3(2 + 4p) Combine like terms: -18 + -6 = -24 -24 + -21p + 34p = 3(2 + 4p) Combine like terms: -21p + 34p = 13p -24 + 13p = 3(2 + 4p) -24 + 13p = (2 * 3 + 4p * 3) -24 + 13p = (6 + 12p) Solving -24 + 13p = 6 + 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. -24 + 13p + -12p = 6 + 12p + -12p Combine like terms: 13p + -12p = 1p -24 + 1p = 6 + 12p + -12p Combine like terms: 12p + -12p = 0 -24 + 1p = 6 + 0 -24 + 1p = 6 Add '24' to each side of the equation. -24 + 24 + 1p = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 1p = 6 + 24 1p = 6 + 24 Combine like terms: 6 + 24 = 30 1p = 30 Divide each side by '1'. p = 30 Simplifying p = 30
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