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Simplifying -2p + -6(3 + -2p) = 5(p + -6) + -43 -2p + (3 * -6 + -2p * -6) = 5(p + -6) + -43 -2p + (-18 + 12p) = 5(p + -6) + -43 Reorder the terms: -18 + -2p + 12p = 5(p + -6) + -43 Combine like terms: -2p + 12p = 10p -18 + 10p = 5(p + -6) + -43 Reorder the terms: -18 + 10p = 5(-6 + p) + -43 -18 + 10p = (-6 * 5 + p * 5) + -43 -18 + 10p = (-30 + 5p) + -43 Reorder the terms: -18 + 10p = -30 + -43 + 5p Combine like terms: -30 + -43 = -73 -18 + 10p = -73 + 5p Solving -18 + 10p = -73 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -18 + 10p + -5p = -73 + 5p + -5p Combine like terms: 10p + -5p = 5p -18 + 5p = -73 + 5p + -5p Combine like terms: 5p + -5p = 0 -18 + 5p = -73 + 0 -18 + 5p = -73 Add '18' to each side of the equation. -18 + 18 + 5p = -73 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -73 + 18 5p = -73 + 18 Combine like terms: -73 + 18 = -55 5p = -55 Divide each side by '5'. p = -11 Simplifying p = -11
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