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Simplifying -8 = -8(6p + -5) + 10(2 + 4p) + 10p Reorder the terms: -8 = -8(-5 + 6p) + 10(2 + 4p) + 10p -8 = (-5 * -8 + 6p * -8) + 10(2 + 4p) + 10p -8 = (40 + -48p) + 10(2 + 4p) + 10p -8 = 40 + -48p + (2 * 10 + 4p * 10) + 10p -8 = 40 + -48p + (20 + 40p) + 10p Reorder the terms: -8 = 40 + 20 + -48p + 40p + 10p Combine like terms: 40 + 20 = 60 -8 = 60 + -48p + 40p + 10p Combine like terms: -48p + 40p = -8p -8 = 60 + -8p + 10p Combine like terms: -8p + 10p = 2p -8 = 60 + 2p Solving -8 = 60 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -8 + -2p = 60 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + -2p = 60 + 0 -8 + -2p = 60 Add '8' to each side of the equation. -8 + 8 + -2p = 60 + 8 Combine like terms: -8 + 8 = 0 0 + -2p = 60 + 8 -2p = 60 + 8 Combine like terms: 60 + 8 = 68 -2p = 68 Divide each side by '-2'. p = -34 Simplifying p = -34
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