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Simplifying 3(2p + -3) + -2(p + -7) = 0 Reorder the terms: 3(-3 + 2p) + -2(p + -7) = 0 (-3 * 3 + 2p * 3) + -2(p + -7) = 0 (-9 + 6p) + -2(p + -7) = 0 Reorder the terms: -9 + 6p + -2(-7 + p) = 0 -9 + 6p + (-7 * -2 + p * -2) = 0 -9 + 6p + (14 + -2p) = 0 Reorder the terms: -9 + 14 + 6p + -2p = 0 Combine like terms: -9 + 14 = 5 5 + 6p + -2p = 0 Combine like terms: 6p + -2p = 4p 5 + 4p = 0 Solving 5 + 4p = 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 + 4p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4p = 0 + -5 4p = 0 + -5 Combine like terms: 0 + -5 = -5 4p = -5 Divide each side by '4'. p = -1.25 Simplifying p = -1.25
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