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Simplifying 7(3p + -7) = 4(1 + -1p) Reorder the terms: 7(-7 + 3p) = 4(1 + -1p) (-7 * 7 + 3p * 7) = 4(1 + -1p) (-49 + 21p) = 4(1 + -1p) -49 + 21p = (1 * 4 + -1p * 4) -49 + 21p = (4 + -4p) Solving -49 + 21p = 4 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -49 + 21p + 4p = 4 + -4p + 4p Combine like terms: 21p + 4p = 25p -49 + 25p = 4 + -4p + 4p Combine like terms: -4p + 4p = 0 -49 + 25p = 4 + 0 -49 + 25p = 4 Add '49' to each side of the equation. -49 + 49 + 25p = 4 + 49 Combine like terms: -49 + 49 = 0 0 + 25p = 4 + 49 25p = 4 + 49 Combine like terms: 4 + 49 = 53 25p = 53 Divide each side by '25'. p = 2.12 Simplifying p = 2.12
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