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Simplifying -1(p + -8) + -2(3p + 5) = 8 + -2p Reorder the terms: -1(-8 + p) + -2(3p + 5) = 8 + -2p (-8 * -1 + p * -1) + -2(3p + 5) = 8 + -2p (8 + -1p) + -2(3p + 5) = 8 + -2p Reorder the terms: 8 + -1p + -2(5 + 3p) = 8 + -2p 8 + -1p + (5 * -2 + 3p * -2) = 8 + -2p 8 + -1p + (-10 + -6p) = 8 + -2p Reorder the terms: 8 + -10 + -1p + -6p = 8 + -2p Combine like terms: 8 + -10 = -2 -2 + -1p + -6p = 8 + -2p Combine like terms: -1p + -6p = -7p -2 + -7p = 8 + -2p Solving -2 + -7p = 8 + -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. -2 + -7p + 2p = 8 + -2p + 2p Combine like terms: -7p + 2p = -5p -2 + -5p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 -2 + -5p = 8 + 0 -2 + -5p = 8 Add '2' to each side of the equation. -2 + 2 + -5p = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5p = 8 + 2 -5p = 8 + 2 Combine like terms: 8 + 2 = 10 -5p = 10 Divide each side by '-5'. p = -2 Simplifying p = -2
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