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Simplifying -3(7p + 4) + -2(5 + -17p) = 3(5 + 4p) Reorder the terms: -3(4 + 7p) + -2(5 + -17p) = 3(5 + 4p) (4 * -3 + 7p * -3) + -2(5 + -17p) = 3(5 + 4p) (-12 + -21p) + -2(5 + -17p) = 3(5 + 4p) -12 + -21p + (5 * -2 + -17p * -2) = 3(5 + 4p) -12 + -21p + (-10 + 34p) = 3(5 + 4p) Reorder the terms: -12 + -10 + -21p + 34p = 3(5 + 4p) Combine like terms: -12 + -10 = -22 -22 + -21p + 34p = 3(5 + 4p) Combine like terms: -21p + 34p = 13p -22 + 13p = 3(5 + 4p) -22 + 13p = (5 * 3 + 4p * 3) -22 + 13p = (15 + 12p) Solving -22 + 13p = 15 + 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. -22 + 13p + -12p = 15 + 12p + -12p Combine like terms: 13p + -12p = 1p -22 + 1p = 15 + 12p + -12p Combine like terms: 12p + -12p = 0 -22 + 1p = 15 + 0 -22 + 1p = 15 Add '22' to each side of the equation. -22 + 22 + 1p = 15 + 22 Combine like terms: -22 + 22 = 0 0 + 1p = 15 + 22 1p = 15 + 22 Combine like terms: 15 + 22 = 37 1p = 37 Divide each side by '1'. p = 37 Simplifying p = 37
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