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Simplifying -2(1 + 5p) = -1(8p + 4) (1 * -2 + 5p * -2) = -1(8p + 4) (-2 + -10p) = -1(8p + 4) Reorder the terms: -2 + -10p = -1(4 + 8p) -2 + -10p = (4 * -1 + 8p * -1) -2 + -10p = (-4 + -8p) Solving -2 + -10p = -4 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -2 + -10p + 8p = -4 + -8p + 8p Combine like terms: -10p + 8p = -2p -2 + -2p = -4 + -8p + 8p Combine like terms: -8p + 8p = 0 -2 + -2p = -4 + 0 -2 + -2p = -4 Add '2' to each side of the equation. -2 + 2 + -2p = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -2p = -4 + 2 -2p = -4 + 2 Combine like terms: -4 + 2 = -2 -2p = -2 Divide each side by '-2'. p = 1 Simplifying p = 1
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