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Simplifying 5p + -4(1 + -3p) = 4p + -1(p + 1) 5p + (1 * -4 + -3p * -4) = 4p + -1(p + 1) 5p + (-4 + 12p) = 4p + -1(p + 1) Reorder the terms: -4 + 5p + 12p = 4p + -1(p + 1) Combine like terms: 5p + 12p = 17p -4 + 17p = 4p + -1(p + 1) Reorder the terms: -4 + 17p = 4p + -1(1 + p) -4 + 17p = 4p + (1 * -1 + p * -1) -4 + 17p = 4p + (-1 + -1p) Reorder the terms: -4 + 17p = -1 + 4p + -1p Combine like terms: 4p + -1p = 3p -4 + 17p = -1 + 3p Solving -4 + 17p = -1 + 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. -4 + 17p + -3p = -1 + 3p + -3p Combine like terms: 17p + -3p = 14p -4 + 14p = -1 + 3p + -3p Combine like terms: 3p + -3p = 0 -4 + 14p = -1 + 0 -4 + 14p = -1 Add '4' to each side of the equation. -4 + 4 + 14p = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 14p = -1 + 4 14p = -1 + 4 Combine like terms: -1 + 4 = 3 14p = 3 Divide each side by '14'. p = 0.2142857143 Simplifying p = 0.2142857143
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