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Simplifying 7p + -4 + 12p = 3(5 + p) Reorder the terms: -4 + 7p + 12p = 3(5 + p) Combine like terms: 7p + 12p = 19p -4 + 19p = 3(5 + p) -4 + 19p = (5 * 3 + p * 3) -4 + 19p = (15 + 3p) Solving -4 + 19p = 15 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -4 + 19p + -3p = 15 + 3p + -3p Combine like terms: 19p + -3p = 16p -4 + 16p = 15 + 3p + -3p Combine like terms: 3p + -3p = 0 -4 + 16p = 15 + 0 -4 + 16p = 15 Add '4' to each side of the equation. -4 + 4 + 16p = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 16p = 15 + 4 16p = 15 + 4 Combine like terms: 15 + 4 = 19 16p = 19 Divide each side by '16'. p = 1.1875 Simplifying p = 1.1875
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