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Simplifying -5p + -6(6 + -2p) = 2(p + -3) + -20 -5p + (6 * -6 + -2p * -6) = 2(p + -3) + -20 -5p + (-36 + 12p) = 2(p + -3) + -20 Reorder the terms: -36 + -5p + 12p = 2(p + -3) + -20 Combine like terms: -5p + 12p = 7p -36 + 7p = 2(p + -3) + -20 Reorder the terms: -36 + 7p = 2(-3 + p) + -20 -36 + 7p = (-3 * 2 + p * 2) + -20 -36 + 7p = (-6 + 2p) + -20 Reorder the terms: -36 + 7p = -6 + -20 + 2p Combine like terms: -6 + -20 = -26 -36 + 7p = -26 + 2p Solving -36 + 7p = -26 + 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. -36 + 7p + -2p = -26 + 2p + -2p Combine like terms: 7p + -2p = 5p -36 + 5p = -26 + 2p + -2p Combine like terms: 2p + -2p = 0 -36 + 5p = -26 + 0 -36 + 5p = -26 Add '36' to each side of the equation. -36 + 36 + 5p = -26 + 36 Combine like terms: -36 + 36 = 0 0 + 5p = -26 + 36 5p = -26 + 36 Combine like terms: -26 + 36 = 10 5p = 10 Divide each side by '5'. p = 2 Simplifying p = 2
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