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Simplifying -2p + -8 = 5 + -1(10p + -2) Reorder the terms: -8 + -2p = 5 + -1(10p + -2) Reorder the terms: -8 + -2p = 5 + -1(-2 + 10p) -8 + -2p = 5 + (-2 * -1 + 10p * -1) -8 + -2p = 5 + (2 + -10p) Combine like terms: 5 + 2 = 7 -8 + -2p = 7 + -10p Solving -8 + -2p = 7 + -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. -8 + -2p + 10p = 7 + -10p + 10p Combine like terms: -2p + 10p = 8p -8 + 8p = 7 + -10p + 10p Combine like terms: -10p + 10p = 0 -8 + 8p = 7 + 0 -8 + 8p = 7 Add '8' to each side of the equation. -8 + 8 + 8p = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 8p = 7 + 8 8p = 7 + 8 Combine like terms: 7 + 8 = 15 8p = 15 Divide each side by '8'. p = 1.875 Simplifying p = 1.875
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