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Simplifying 5(p + -2) = 2p + -19 Reorder the terms: 5(-2 + p) = 2p + -19 (-2 * 5 + p * 5) = 2p + -19 (-10 + 5p) = 2p + -19 Reorder the terms: -10 + 5p = -19 + 2p Solving -10 + 5p = -19 + 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. -10 + 5p + -2p = -19 + 2p + -2p Combine like terms: 5p + -2p = 3p -10 + 3p = -19 + 2p + -2p Combine like terms: 2p + -2p = 0 -10 + 3p = -19 + 0 -10 + 3p = -19 Add '10' to each side of the equation. -10 + 10 + 3p = -19 + 10 Combine like terms: -10 + 10 = 0 0 + 3p = -19 + 10 3p = -19 + 10 Combine like terms: -19 + 10 = -9 3p = -9 Divide each side by '3'. p = -3 Simplifying p = -3
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