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Simplifying -31p + -6(3 + -6p) = 2(p + -3) + -24 -31p + (3 * -6 + -6p * -6) = 2(p + -3) + -24 -31p + (-18 + 36p) = 2(p + -3) + -24 Reorder the terms: -18 + -31p + 36p = 2(p + -3) + -24 Combine like terms: -31p + 36p = 5p -18 + 5p = 2(p + -3) + -24 Reorder the terms: -18 + 5p = 2(-3 + p) + -24 -18 + 5p = (-3 * 2 + p * 2) + -24 -18 + 5p = (-6 + 2p) + -24 Reorder the terms: -18 + 5p = -6 + -24 + 2p Combine like terms: -6 + -24 = -30 -18 + 5p = -30 + 2p Solving -18 + 5p = -30 + 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. -18 + 5p + -2p = -30 + 2p + -2p Combine like terms: 5p + -2p = 3p -18 + 3p = -30 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + 3p = -30 + 0 -18 + 3p = -30 Add '18' to each side of the equation. -18 + 18 + 3p = -30 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -30 + 18 3p = -30 + 18 Combine like terms: -30 + 18 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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