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Simplifying 2(3p + -1) + -3(p + -4) = 0 Reorder the terms: 2(-1 + 3p) + -3(p + -4) = 0 (-1 * 2 + 3p * 2) + -3(p + -4) = 0 (-2 + 6p) + -3(p + -4) = 0 Reorder the terms: -2 + 6p + -3(-4 + p) = 0 -2 + 6p + (-4 * -3 + p * -3) = 0 -2 + 6p + (12 + -3p) = 0 Reorder the terms: -2 + 12 + 6p + -3p = 0 Combine like terms: -2 + 12 = 10 10 + 6p + -3p = 0 Combine like terms: 6p + -3p = 3p 10 + 3p = 0 Solving 10 + 3p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3p = 0 + -10 3p = 0 + -10 Combine like terms: 0 + -10 = -10 3p = -10 Divide each side by '3'. p = -3.333333333 Simplifying p = -3.333333333
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