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Simplifying 3(4p + -4) + -2(p + -8) = 0 Reorder the terms: 3(-4 + 4p) + -2(p + -8) = 0 (-4 * 3 + 4p * 3) + -2(p + -8) = 0 (-12 + 12p) + -2(p + -8) = 0 Reorder the terms: -12 + 12p + -2(-8 + p) = 0 -12 + 12p + (-8 * -2 + p * -2) = 0 -12 + 12p + (16 + -2p) = 0 Reorder the terms: -12 + 16 + 12p + -2p = 0 Combine like terms: -12 + 16 = 4 4 + 12p + -2p = 0 Combine like terms: 12p + -2p = 10p 4 + 10p = 0 Solving 4 + 10p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10p = 0 + -4 10p = 0 + -4 Combine like terms: 0 + -4 = -4 10p = -4 Divide each side by '10'. p = -0.4 Simplifying p = -0.4
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