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Simplifying -31p + -6(6 + -6p) = 3(p + -5) + -1 -31p + (6 * -6 + -6p * -6) = 3(p + -5) + -1 -31p + (-36 + 36p) = 3(p + -5) + -1 Reorder the terms: -36 + -31p + 36p = 3(p + -5) + -1 Combine like terms: -31p + 36p = 5p -36 + 5p = 3(p + -5) + -1 Reorder the terms: -36 + 5p = 3(-5 + p) + -1 -36 + 5p = (-5 * 3 + p * 3) + -1 -36 + 5p = (-15 + 3p) + -1 Reorder the terms: -36 + 5p = -15 + -1 + 3p Combine like terms: -15 + -1 = -16 -36 + 5p = -16 + 3p Solving -36 + 5p = -16 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -36 + 5p + -3p = -16 + 3p + -3p Combine like terms: 5p + -3p = 2p -36 + 2p = -16 + 3p + -3p Combine like terms: 3p + -3p = 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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