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Simplifying -1(4p + -2) + -2(1 + -3p) = p + 3p Reorder the terms: -1(-2 + 4p) + -2(1 + -3p) = p + 3p (-2 * -1 + 4p * -1) + -2(1 + -3p) = p + 3p (2 + -4p) + -2(1 + -3p) = p + 3p 2 + -4p + (1 * -2 + -3p * -2) = p + 3p 2 + -4p + (-2 + 6p) = p + 3p Reorder the terms: 2 + -2 + -4p + 6p = p + 3p Combine like terms: 2 + -2 = 0 0 + -4p + 6p = p + 3p -4p + 6p = p + 3p Combine like terms: -4p + 6p = 2p 2p = p + 3p Combine like terms: p + 3p = 4p 2p = 4p Solving 2p = 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. 2p + -4p = 4p + -4p Combine like terms: 2p + -4p = -2p -2p = 4p + -4p Combine like terms: 4p + -4p = 0 -2p = 0 Divide each side by '-2'. p = 0 Simplifying p = 0
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