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Simplifying 4p + -2(1 + 3p) = 3 + -1(5 + -5p) 4p + (1 * -2 + 3p * -2) = 3 + -1(5 + -5p) 4p + (-2 + -6p) = 3 + -1(5 + -5p) Reorder the terms: -2 + 4p + -6p = 3 + -1(5 + -5p) Combine like terms: 4p + -6p = -2p -2 + -2p = 3 + -1(5 + -5p) -2 + -2p = 3 + (5 * -1 + -5p * -1) -2 + -2p = 3 + (-5 + 5p) Combine like terms: 3 + -5 = -2 -2 + -2p = -2 + 5p Add '2' to each side of the equation. -2 + 2 + -2p = -2 + 2 + 5p Combine like terms: -2 + 2 = 0 0 + -2p = -2 + 2 + 5p -2p = -2 + 2 + 5p Combine like terms: -2 + 2 = 0 -2p = 0 + 5p -2p = 5p Solving -2p = 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -2p + -5p = 5p + -5p Combine like terms: -2p + -5p = -7p -7p = 5p + -5p Combine like terms: 5p + -5p = 0 -7p = 0 Divide each side by '-7'. p = 0 Simplifying p = 0
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