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Simplifying 2(3p + -8) + -3(p + -7) + -19p = 0 Reorder the terms: 2(-8 + 3p) + -3(p + -7) + -19p = 0 (-8 * 2 + 3p * 2) + -3(p + -7) + -19p = 0 (-16 + 6p) + -3(p + -7) + -19p = 0 Reorder the terms: -16 + 6p + -3(-7 + p) + -19p = 0 -16 + 6p + (-7 * -3 + p * -3) + -19p = 0 -16 + 6p + (21 + -3p) + -19p = 0 Reorder the terms: -16 + 21 + 6p + -3p + -19p = 0 Combine like terms: -16 + 21 = 5 5 + 6p + -3p + -19p = 0 Combine like terms: 6p + -3p = 3p 5 + 3p + -19p = 0 Combine like terms: 3p + -19p = -16p 5 + -16p = 0 Solving 5 + -16p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -16p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -16p = 0 + -5 -16p = 0 + -5 Combine like terms: 0 + -5 = -5 -16p = -5 Divide each side by '-16'. p = 0.3125 Simplifying p = 0.3125
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