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Simplifying 8(p + 4) + 6(p + -3) = 0 Reorder the terms: 8(4 + p) + 6(p + -3) = 0 (4 * 8 + p * 8) + 6(p + -3) = 0 (32 + 8p) + 6(p + -3) = 0 Reorder the terms: 32 + 8p + 6(-3 + p) = 0 32 + 8p + (-3 * 6 + p * 6) = 0 32 + 8p + (-18 + 6p) = 0 Reorder the terms: 32 + -18 + 8p + 6p = 0 Combine like terms: 32 + -18 = 14 14 + 8p + 6p = 0 Combine like terms: 8p + 6p = 14p 14 + 14p = 0 Solving 14 + 14p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 14p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 14p = 0 + -14 14p = 0 + -14 Combine like terms: 0 + -14 = -14 14p = -14 Divide each side by '14'. p = -1 Simplifying p = -1
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