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Simplifying -66 = 5(5p + -1) + 6(-2 + 4p) Reorder the terms: -66 = 5(-1 + 5p) + 6(-2 + 4p) -66 = (-1 * 5 + 5p * 5) + 6(-2 + 4p) -66 = (-5 + 25p) + 6(-2 + 4p) -66 = -5 + 25p + (-2 * 6 + 4p * 6) -66 = -5 + 25p + (-12 + 24p) Reorder the terms: -66 = -5 + -12 + 25p + 24p Combine like terms: -5 + -12 = -17 -66 = -17 + 25p + 24p Combine like terms: 25p + 24p = 49p -66 = -17 + 49p Solving -66 = -17 + 49p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-49p' to each side of the equation. -66 + -49p = -17 + 49p + -49p Combine like terms: 49p + -49p = 0 -66 + -49p = -17 + 0 -66 + -49p = -17 Add '66' to each side of the equation. -66 + 66 + -49p = -17 + 66 Combine like terms: -66 + 66 = 0 0 + -49p = -17 + 66 -49p = -17 + 66 Combine like terms: -17 + 66 = 49 -49p = 49 Divide each side by '-49'. p = -1 Simplifying p = -1
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