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Simplifying 8(p + 5) + 6(-2p + -3) = 0 Reorder the terms: 8(5 + p) + 6(-2p + -3) = 0 (5 * 8 + p * 8) + 6(-2p + -3) = 0 (40 + 8p) + 6(-2p + -3) = 0 Reorder the terms: 40 + 8p + 6(-3 + -2p) = 0 40 + 8p + (-3 * 6 + -2p * 6) = 0 40 + 8p + (-18 + -12p) = 0 Reorder the terms: 40 + -18 + 8p + -12p = 0 Combine like terms: 40 + -18 = 22 22 + 8p + -12p = 0 Combine like terms: 8p + -12p = -4p 22 + -4p = 0 Solving 22 + -4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -4p = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -4p = 0 + -22 -4p = 0 + -22 Combine like terms: 0 + -22 = -22 -4p = -22 Divide each side by '-4'. p = 5.5 Simplifying p = 5.5
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