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Simplifying -2(p + 10) + 12p = -10(p + 8) Reorder the terms: -2(10 + p) + 12p = -10(p + 8) (10 * -2 + p * -2) + 12p = -10(p + 8) (-20 + -2p) + 12p = -10(p + 8) Combine like terms: -2p + 12p = 10p -20 + 10p = -10(p + 8) Reorder the terms: -20 + 10p = -10(8 + p) -20 + 10p = (8 * -10 + p * -10) -20 + 10p = (-80 + -10p) Solving -20 + 10p = -80 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -20 + 10p + 10p = -80 + -10p + 10p Combine like terms: 10p + 10p = 20p -20 + 20p = -80 + -10p + 10p Combine like terms: -10p + 10p = 0 -20 + 20p = -80 + 0 -20 + 20p = -80 Add '20' to each side of the equation. -20 + 20 + 20p = -80 + 20 Combine like terms: -20 + 20 = 0 0 + 20p = -80 + 20 20p = -80 + 20 Combine like terms: -80 + 20 = -60 20p = -60 Divide each side by '20'. p = -3 Simplifying p = -3
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