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