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Simplifying -31p + -6(6 + -6p) = 2(p + -2) + -8 -31p + (6 * -6 + -6p * -6) = 2(p + -2) + -8 -31p + (-36 + 36p) = 2(p + -2) + -8 Reorder the terms: -36 + -31p + 36p = 2(p + -2) + -8 Combine like terms: -31p + 36p = 5p -36 + 5p = 2(p + -2) + -8 Reorder the terms: -36 + 5p = 2(-2 + p) + -8 -36 + 5p = (-2 * 2 + p * 2) + -8 -36 + 5p = (-4 + 2p) + -8 Reorder the terms: -36 + 5p = -4 + -8 + 2p Combine like terms: -4 + -8 = -12 -36 + 5p = -12 + 2p Solving -36 + 5p = -12 + 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 + 5p + -2p = -12 + 2p + -2p Combine like terms: 5p + -2p = 3p -36 + 3p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 -36 + 3p = -12 + 0 -36 + 3p = -12 Add '36' to each side of the equation. -36 + 36 + 3p = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 3p = -12 + 36 3p = -12 + 36 Combine like terms: -12 + 36 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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