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Simplifying 4p + (-3)(1 + -1p) = 3p + -5(1 + -1p) 4p + (1 * -3 + -1p * -3) = 3p + -5(1 + -1p) 4p + (-3 + 3p) = 3p + -5(1 + -1p) Reorder the terms: -3 + 4p + 3p = 3p + -5(1 + -1p) Combine like terms: 4p + 3p = 7p -3 + 7p = 3p + -5(1 + -1p) -3 + 7p = 3p + (1 * -5 + -1p * -5) -3 + 7p = 3p + (-5 + 5p) Reorder the terms: -3 + 7p = -5 + 3p + 5p Combine like terms: 3p + 5p = 8p -3 + 7p = -5 + 8p Solving -3 + 7p = -5 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -3 + 7p + -8p = -5 + 8p + -8p Combine like terms: 7p + -8p = -1p -3 + -1p = -5 + 8p + -8p Combine like terms: 8p + -8p = 0 -3 + -1p = -5 + 0 -3 + -1p = -5 Add '3' to each side of the equation. -3 + 3 + -1p = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = -5 + 3 -1p = -5 + 3 Combine like terms: -5 + 3 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2
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