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Simplifying -19p + -6(3 + -4p) = 2(p + -3) + -6 -19p + (3 * -6 + -4p * -6) = 2(p + -3) + -6 -19p + (-18 + 24p) = 2(p + -3) + -6 Reorder the terms: -18 + -19p + 24p = 2(p + -3) + -6 Combine like terms: -19p + 24p = 5p -18 + 5p = 2(p + -3) + -6 Reorder the terms: -18 + 5p = 2(-3 + p) + -6 -18 + 5p = (-3 * 2 + p * 2) + -6 -18 + 5p = (-6 + 2p) + -6 Reorder the terms: -18 + 5p = -6 + -6 + 2p Combine like terms: -6 + -6 = -12 -18 + 5p = -12 + 2p Solving -18 + 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. -18 + 5p + -2p = -12 + 2p + -2p Combine like terms: 5p + -2p = 3p -18 + 3p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + 3p = -12 + 0 -18 + 3p = -12 Add '18' to each side of the equation. -18 + 18 + 3p = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -12 + 18 3p = -12 + 18 Combine like terms: -12 + 18 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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