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Simplifying -5p + -6(6 + -2p) = 5(p + -2) + -6 -5p + (6 * -6 + -2p * -6) = 5(p + -2) + -6 -5p + (-36 + 12p) = 5(p + -2) + -6 Reorder the terms: -36 + -5p + 12p = 5(p + -2) + -6 Combine like terms: -5p + 12p = 7p -36 + 7p = 5(p + -2) + -6 Reorder the terms: -36 + 7p = 5(-2 + p) + -6 -36 + 7p = (-2 * 5 + p * 5) + -6 -36 + 7p = (-10 + 5p) + -6 Reorder the terms: -36 + 7p = -10 + -6 + 5p Combine like terms: -10 + -6 = -16 -36 + 7p = -16 + 5p Solving -36 + 7p = -16 + 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. -36 + 7p + -5p = -16 + 5p + -5p Combine like terms: 7p + -5p = 2p -36 + 2p = -16 + 5p + -5p Combine like terms: 5p + -5p = 0 -36 + 2p = -16 + 0 -36 + 2p = -16 Add '36' to each side of the equation. -36 + 36 + 2p = -16 + 36 Combine like terms: -36 + 36 = 0 0 + 2p = -16 + 36 2p = -16 + 36 Combine like terms: -16 + 36 = 20 2p = 20 Divide each side by '2'. p = 10 Simplifying p = 10
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