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Simplifying 2(5p + 1) + 8(-1p + -7) = -8p + p Reorder the terms: 2(1 + 5p) + 8(-1p + -7) = -8p + p (1 * 2 + 5p * 2) + 8(-1p + -7) = -8p + p (2 + 10p) + 8(-1p + -7) = -8p + p Reorder the terms: 2 + 10p + 8(-7 + -1p) = -8p + p 2 + 10p + (-7 * 8 + -1p * 8) = -8p + p 2 + 10p + (-56 + -8p) = -8p + p Reorder the terms: 2 + -56 + 10p + -8p = -8p + p Combine like terms: 2 + -56 = -54 -54 + 10p + -8p = -8p + p Combine like terms: 10p + -8p = 2p -54 + 2p = -8p + p Combine like terms: -8p + p = -7p -54 + 2p = -7p Solving -54 + 2p = -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -54 + 2p + 7p = -7p + 7p Combine like terms: 2p + 7p = 9p -54 + 9p = -7p + 7p Combine like terms: -7p + 7p = 0 -54 + 9p = 0 Add '54' to each side of the equation. -54 + 54 + 9p = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 9p = 0 + 54 9p = 0 + 54 Combine like terms: 0 + 54 = 54 9p = 54 Divide each side by '9'. p = 6 Simplifying p = 6
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