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Simplifying -31p + -6(2 + -6p) = 2(p + -4) + -10 -31p + (2 * -6 + -6p * -6) = 2(p + -4) + -10 -31p + (-12 + 36p) = 2(p + -4) + -10 Reorder the terms: -12 + -31p + 36p = 2(p + -4) + -10 Combine like terms: -31p + 36p = 5p -12 + 5p = 2(p + -4) + -10 Reorder the terms: -12 + 5p = 2(-4 + p) + -10 -12 + 5p = (-4 * 2 + p * 2) + -10 -12 + 5p = (-8 + 2p) + -10 Reorder the terms: -12 + 5p = -8 + -10 + 2p Combine like terms: -8 + -10 = -18 -12 + 5p = -18 + 2p Solving -12 + 5p = -18 + 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. -12 + 5p + -2p = -18 + 2p + -2p Combine like terms: 5p + -2p = 3p -12 + 3p = -18 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 3p = -18 + 0 -12 + 3p = -18 Add '12' to each side of the equation. -12 + 12 + 3p = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -18 + 12 3p = -18 + 12 Combine like terms: -18 + 12 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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