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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 = 22p -4 + 22p = -15 + -3p + 3p Combine like terms: -3p + 3p = 0 -4 + 22p = -15 + 0 -4 + 22p = -15 Add '4' to each side of the equation. -4 + 4 + 22p = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 22p = -15 + 4 22p = -15 + 4 Combine like terms: -15 + 4 = -11 22p = -11 Divide each side by '22'. p = -0.5 Simplifying p = -0.5
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