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Simplifying 4[3p + -5(p + 2)] = 19 Reorder the terms: 4[3p + -5(2 + p)] = 19 4[3p + (2 * -5 + p * -5)] = 19 4[3p + (-10 + -5p)] = 19 Reorder the terms: 4[-10 + 3p + -5p] = 19 Combine like terms: 3p + -5p = -2p 4[-10 + -2p] = 19 [-10 * 4 + -2p * 4] = 19 [-40 + -8p] = 19 Solving -40 + -8p = 19 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -8p = 19 + 40 Combine like terms: -40 + 40 = 0 0 + -8p = 19 + 40 -8p = 19 + 40 Combine like terms: 19 + 40 = 59 -8p = 59 Divide each side by '-8'. p = -7.375 Simplifying p = -7.375
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