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Simplifying 4p + -2(p + 1) = 5p + 1 Reorder the terms: 4p + -2(1 + p) = 5p + 1 4p + (1 * -2 + p * -2) = 5p + 1 4p + (-2 + -2p) = 5p + 1 Reorder the terms: -2 + 4p + -2p = 5p + 1 Combine like terms: 4p + -2p = 2p -2 + 2p = 5p + 1 Reorder the terms: -2 + 2p = 1 + 5p Solving -2 + 2p = 1 + 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. -2 + 2p + -5p = 1 + 5p + -5p Combine like terms: 2p + -5p = -3p -2 + -3p = 1 + 5p + -5p Combine like terms: 5p + -5p = 0 -2 + -3p = 1 + 0 -2 + -3p = 1 Add '2' to each side of the equation. -2 + 2 + -3p = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -3p = 1 + 2 -3p = 1 + 2 Combine like terms: 1 + 2 = 3 -3p = 3 Divide each side by '-3'. p = -1 Simplifying p = -1
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