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Simplifying -2(p + -6) + -3(2p + -8) = 0 Reorder the terms: -2(-6 + p) + -3(2p + -8) = 0 (-6 * -2 + p * -2) + -3(2p + -8) = 0 (12 + -2p) + -3(2p + -8) = 0 Reorder the terms: 12 + -2p + -3(-8 + 2p) = 0 12 + -2p + (-8 * -3 + 2p * -3) = 0 12 + -2p + (24 + -6p) = 0 Reorder the terms: 12 + 24 + -2p + -6p = 0 Combine like terms: 12 + 24 = 36 36 + -2p + -6p = 0 Combine like terms: -2p + -6p = -8p 36 + -8p = 0 Solving 36 + -8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -8p = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -8p = 0 + -36 -8p = 0 + -36 Combine like terms: 0 + -36 = -36 -8p = -36 Divide each side by '-8'. p = 4.5 Simplifying p = 4.5
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