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Simplifying -3(7p + 5) + -2(2 + -17p) = 3(8 + 4p) Reorder the terms: -3(5 + 7p) + -2(2 + -17p) = 3(8 + 4p) (5 * -3 + 7p * -3) + -2(2 + -17p) = 3(8 + 4p) (-15 + -21p) + -2(2 + -17p) = 3(8 + 4p) -15 + -21p + (2 * -2 + -17p * -2) = 3(8 + 4p) -15 + -21p + (-4 + 34p) = 3(8 + 4p) Reorder the terms: -15 + -4 + -21p + 34p = 3(8 + 4p) Combine like terms: -15 + -4 = -19 -19 + -21p + 34p = 3(8 + 4p) Combine like terms: -21p + 34p = 13p -19 + 13p = 3(8 + 4p) -19 + 13p = (8 * 3 + 4p * 3) -19 + 13p = (24 + 12p) Solving -19 + 13p = 24 + 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. -19 + 13p + -12p = 24 + 12p + -12p Combine like terms: 13p + -12p = 1p -19 + 1p = 24 + 12p + -12p Combine like terms: 12p + -12p = 0 -19 + 1p = 24 + 0 -19 + 1p = 24 Add '19' to each side of the equation. -19 + 19 + 1p = 24 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 24 + 19 1p = 24 + 19 Combine like terms: 24 + 19 = 43 1p = 43 Divide each side by '1'. p = 43 Simplifying p = 43
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