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Simplifying 12p + 3(12p + -1) = -7(-7p + -10) Reorder the terms: 12p + 3(-1 + 12p) = -7(-7p + -10) 12p + (-1 * 3 + 12p * 3) = -7(-7p + -10) 12p + (-3 + 36p) = -7(-7p + -10) Reorder the terms: -3 + 12p + 36p = -7(-7p + -10) Combine like terms: 12p + 36p = 48p -3 + 48p = -7(-7p + -10) Reorder the terms: -3 + 48p = -7(-10 + -7p) -3 + 48p = (-10 * -7 + -7p * -7) -3 + 48p = (70 + 49p) Solving -3 + 48p = 70 + 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. -3 + 48p + -49p = 70 + 49p + -49p Combine like terms: 48p + -49p = -1p -3 + -1p = 70 + 49p + -49p Combine like terms: 49p + -49p = 0 -3 + -1p = 70 + 0 -3 + -1p = 70 Add '3' to each side of the equation. -3 + 3 + -1p = 70 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 70 + 3 -1p = 70 + 3 Combine like terms: 70 + 3 = 73 -1p = 73 Divide each side by '-1'. p = -73 Simplifying p = -73
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