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Simplifying 7(4 + -7p) + 8(9p + 6) = 0 (4 * 7 + -7p * 7) + 8(9p + 6) = 0 (28 + -49p) + 8(9p + 6) = 0 Reorder the terms: 28 + -49p + 8(6 + 9p) = 0 28 + -49p + (6 * 8 + 9p * 8) = 0 28 + -49p + (48 + 72p) = 0 Reorder the terms: 28 + 48 + -49p + 72p = 0 Combine like terms: 28 + 48 = 76 76 + -49p + 72p = 0 Combine like terms: -49p + 72p = 23p 76 + 23p = 0 Solving 76 + 23p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 23p = 0 + -76 Combine like terms: 76 + -76 = 0 0 + 23p = 0 + -76 23p = 0 + -76 Combine like terms: 0 + -76 = -76 23p = -76 Divide each side by '23'. p = -3.304347826 Simplifying p = -3.304347826
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