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Simplifying 3(5p + 6) + -2(p + 7) = 0 Reorder the terms: 3(6 + 5p) + -2(p + 7) = 0 (6 * 3 + 5p * 3) + -2(p + 7) = 0 (18 + 15p) + -2(p + 7) = 0 Reorder the terms: 18 + 15p + -2(7 + p) = 0 18 + 15p + (7 * -2 + p * -2) = 0 18 + 15p + (-14 + -2p) = 0 Reorder the terms: 18 + -14 + 15p + -2p = 0 Combine like terms: 18 + -14 = 4 4 + 15p + -2p = 0 Combine like terms: 15p + -2p = 13p 4 + 13p = 0 Solving 4 + 13p = 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 + 13p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13p = 0 + -4 13p = 0 + -4 Combine like terms: 0 + -4 = -4 13p = -4 Divide each side by '13'. p = -0.3076923077 Simplifying p = -0.3076923077
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