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Simplifying -7(7p + -6) + 8(6 + 4) = 0 Reorder the terms: -7(-6 + 7p) + 8(6 + 4) = 0 (-6 * -7 + 7p * -7) + 8(6 + 4) = 0 (42 + -49p) + 8(6 + 4) = 0 Combine like terms: 6 + 4 = 10 42 + -49p + 8(10) = 0 Multiply 8 * 10 42 + -49p + 80 = 0 Reorder the terms: 42 + 80 + -49p = 0 Combine like terms: 42 + 80 = 122 122 + -49p = 0 Solving 122 + -49p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-122' to each side of the equation. 122 + -122 + -49p = 0 + -122 Combine like terms: 122 + -122 = 0 0 + -49p = 0 + -122 -49p = 0 + -122 Combine like terms: 0 + -122 = -122 -49p = -122 Divide each side by '-49'. p = 2.489795918 Simplifying p = 2.489795918
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