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Simplifying 10(5p + -1) = 7(7p + -3) Reorder the terms: 10(-1 + 5p) = 7(7p + -3) (-1 * 10 + 5p * 10) = 7(7p + -3) (-10 + 50p) = 7(7p + -3) Reorder the terms: -10 + 50p = 7(-3 + 7p) -10 + 50p = (-3 * 7 + 7p * 7) -10 + 50p = (-21 + 49p) Solving -10 + 50p = -21 + 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. -10 + 50p + -49p = -21 + 49p + -49p Combine like terms: 50p + -49p = 1p -10 + 1p = -21 + 49p + -49p Combine like terms: 49p + -49p = 0 -10 + 1p = -21 + 0 -10 + 1p = -21 Add '10' to each side of the equation. -10 + 10 + 1p = -21 + 10 Combine like terms: -10 + 10 = 0 0 + 1p = -21 + 10 1p = -21 + 10 Combine like terms: -21 + 10 = -11 1p = -11 Divide each side by '1'. p = -11 Simplifying p = -11
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