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Simplifying 6p + -1(8p + 19) = 2 + -1(10p + -4) Reorder the terms: 6p + -1(19 + 8p) = 2 + -1(10p + -4) 6p + (19 * -1 + 8p * -1) = 2 + -1(10p + -4) 6p + (-19 + -8p) = 2 + -1(10p + -4) Reorder the terms: -19 + 6p + -8p = 2 + -1(10p + -4) Combine like terms: 6p + -8p = -2p -19 + -2p = 2 + -1(10p + -4) Reorder the terms: -19 + -2p = 2 + -1(-4 + 10p) -19 + -2p = 2 + (-4 * -1 + 10p * -1) -19 + -2p = 2 + (4 + -10p) Combine like terms: 2 + 4 = 6 -19 + -2p = 6 + -10p Solving -19 + -2p = 6 + -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. -19 + -2p + 10p = 6 + -10p + 10p Combine like terms: -2p + 10p = 8p -19 + 8p = 6 + -10p + 10p Combine like terms: -10p + 10p = 0 -19 + 8p = 6 + 0 -19 + 8p = 6 Add '19' to each side of the equation. -19 + 19 + 8p = 6 + 19 Combine like terms: -19 + 19 = 0 0 + 8p = 6 + 19 8p = 6 + 19 Combine like terms: 6 + 19 = 25 8p = 25 Divide each side by '8'. p = 3.125 Simplifying p = 3.125
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