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Simplifying -1(p + -4p + p + 10) + -1(4p + 7p + -8p + 8) = 0 Reorder the terms: -1(10 + p + -4p + p) + -1(4p + 7p + -8p + 8) = 0 Combine like terms: p + -4p = -3p -1(10 + -3p + p) + -1(4p + 7p + -8p + 8) = 0 Combine like terms: -3p + p = -2p -1(10 + -2p) + -1(4p + 7p + -8p + 8) = 0 (10 * -1 + -2p * -1) + -1(4p + 7p + -8p + 8) = 0 (-10 + 2p) + -1(4p + 7p + -8p + 8) = 0 Reorder the terms: -10 + 2p + -1(8 + 4p + 7p + -8p) = 0 Combine like terms: 4p + 7p = 11p -10 + 2p + -1(8 + 11p + -8p) = 0 Combine like terms: 11p + -8p = 3p -10 + 2p + -1(8 + 3p) = 0 -10 + 2p + (8 * -1 + 3p * -1) = 0 -10 + 2p + (-8 + -3p) = 0 Reorder the terms: -10 + -8 + 2p + -3p = 0 Combine like terms: -10 + -8 = -18 -18 + 2p + -3p = 0 Combine like terms: 2p + -3p = -1p -18 + -1p = 0 Solving -18 + -1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1p = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1p = 0 + 18 -1p = 0 + 18 Combine like terms: 0 + 18 = 18 -1p = 18 Divide each side by '-1'. p = -18 Simplifying p = -18
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