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Simplifying -10p + -8 = -8(6p + -5) + (2 + 4p) Reorder the terms: -8 + -10p = -8(6p + -5) + (2 + 4p) Reorder the terms: -8 + -10p = -8(-5 + 6p) + (2 + 4p) -8 + -10p = (-5 * -8 + 6p * -8) + (2 + 4p) -8 + -10p = (40 + -48p) + (2 + 4p) Remove parenthesis around (2 + 4p) -8 + -10p = 40 + -48p + 2 + 4p Reorder the terms: -8 + -10p = 40 + 2 + -48p + 4p Combine like terms: 40 + 2 = 42 -8 + -10p = 42 + -48p + 4p Combine like terms: -48p + 4p = -44p -8 + -10p = 42 + -44p Solving -8 + -10p = 42 + -44p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '44p' to each side of the equation. -8 + -10p + 44p = 42 + -44p + 44p Combine like terms: -10p + 44p = 34p -8 + 34p = 42 + -44p + 44p Combine like terms: -44p + 44p = 0 -8 + 34p = 42 + 0 -8 + 34p = 42 Add '8' to each side of the equation. -8 + 8 + 34p = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 34p = 42 + 8 34p = 42 + 8 Combine like terms: 42 + 8 = 50 34p = 50 Divide each side by '34'. p = 1.470588235 Simplifying p = 1.470588235
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