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Simplifying 4(1 + -1p) = 3(p + -2) (1 * 4 + -1p * 4) = 3(p + -2) (4 + -4p) = 3(p + -2) Reorder the terms: 4 + -4p = 3(-2 + p) 4 + -4p = (-2 * 3 + p * 3) 4 + -4p = (-6 + 3p) Solving 4 + -4p = -6 + 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 + -4p + -3p = -6 + 3p + -3p Combine like terms: -4p + -3p = -7p 4 + -7p = -6 + 3p + -3p Combine like terms: 3p + -3p = 0 4 + -7p = -6 + 0 4 + -7p = -6 Add '-4' to each side of the equation. 4 + -4 + -7p = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -7p = -6 + -4 -7p = -6 + -4 Combine like terms: -6 + -4 = -10 -7p = -10 Divide each side by '-7'. p = 1.428571429 Simplifying p = 1.428571429
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