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Simplifying 122 = -8(5p + 4) + -6 Reorder the terms: 122 = -8(4 + 5p) + -6 122 = (4 * -8 + 5p * -8) + -6 122 = (-32 + -40p) + -6 Reorder the terms: 122 = -32 + -6 + -40p Combine like terms: -32 + -6 = -38 122 = -38 + -40p Solving 122 = -38 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. 122 + 40p = -38 + -40p + 40p Combine like terms: -40p + 40p = 0 122 + 40p = -38 + 0 122 + 40p = -38 Add '-122' to each side of the equation. 122 + -122 + 40p = -38 + -122 Combine like terms: 122 + -122 = 0 0 + 40p = -38 + -122 40p = -38 + -122 Combine like terms: -38 + -122 = -160 40p = -160 Divide each side by '40'. p = -4 Simplifying p = -4
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