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Simplifying 2(8p + -5) = -3(p + -3) Reorder the terms: 2(-5 + 8p) = -3(p + -3) (-5 * 2 + 8p * 2) = -3(p + -3) (-10 + 16p) = -3(p + -3) Reorder the terms: -10 + 16p = -3(-3 + p) -10 + 16p = (-3 * -3 + p * -3) -10 + 16p = (9 + -3p) Solving -10 + 16p = 9 + -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. -10 + 16p + 3p = 9 + -3p + 3p Combine like terms: 16p + 3p = 19p -10 + 19p = 9 + -3p + 3p Combine like terms: -3p + 3p = 0 -10 + 19p = 9 + 0 -10 + 19p = 9 Add '10' to each side of the equation. -10 + 10 + 19p = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 19p = 9 + 10 19p = 9 + 10 Combine like terms: 9 + 10 = 19 19p = 19 Divide each side by '19'. p = 1 Simplifying p = 1
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