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Simplifying -3(7p + 4) + -2(1 + -17p) = 3(5 + 4p) Reorder the terms: -3(4 + 7p) + -2(1 + -17p) = 3(5 + 4p) (4 * -3 + 7p * -3) + -2(1 + -17p) = 3(5 + 4p) (-12 + -21p) + -2(1 + -17p) = 3(5 + 4p) -12 + -21p + (1 * -2 + -17p * -2) = 3(5 + 4p) -12 + -21p + (-2 + 34p) = 3(5 + 4p) Reorder the terms: -12 + -2 + -21p + 34p = 3(5 + 4p) Combine like terms: -12 + -2 = -14 -14 + -21p + 34p = 3(5 + 4p) Combine like terms: -21p + 34p = 13p -14 + 13p = 3(5 + 4p) -14 + 13p = (5 * 3 + 4p * 3) -14 + 13p = (15 + 12p) Solving -14 + 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. -14 + 13p + -12p = 15 + 12p + -12p Combine like terms: 13p + -12p = 1p -14 + 1p = 15 + 12p + -12p Combine like terms: 12p + -12p = 0 -14 + 1p = 15 + 0 -14 + 1p = 15 Add '14' to each side of the equation. -14 + 14 + 1p = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 15 + 14 1p = 15 + 14 Combine like terms: 15 + 14 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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