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Simplifying 4p + 5(1 + -1p) = 6p + 3(1 + -1p) 4p + (1 * 5 + -1p * 5) = 6p + 3(1 + -1p) 4p + (5 + -5p) = 6p + 3(1 + -1p) Reorder the terms: 5 + 4p + -5p = 6p + 3(1 + -1p) Combine like terms: 4p + -5p = -1p 5 + -1p = 6p + 3(1 + -1p) 5 + -1p = 6p + (1 * 3 + -1p * 3) 5 + -1p = 6p + (3 + -3p) Reorder the terms: 5 + -1p = 3 + 6p + -3p Combine like terms: 6p + -3p = 3p 5 + -1p = 3 + 3p Solving 5 + -1p = 3 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 5 + -1p + -3p = 3 + 3p + -3p Combine like terms: -1p + -3p = -4p 5 + -4p = 3 + 3p + -3p Combine like terms: 3p + -3p = 0 5 + -4p = 3 + 0 5 + -4p = 3 Add '-5' to each side of the equation. 5 + -5 + -4p = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -4p = 3 + -5 -4p = 3 + -5 Combine like terms: 3 + -5 = -2 -4p = -2 Divide each side by '-4'. p = 0.5 Simplifying p = 0.5
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