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Simplifying 2p + -5(p + 1) = 3p + 1 Reorder the terms: 2p + -5(1 + p) = 3p + 1 2p + (1 * -5 + p * -5) = 3p + 1 2p + (-5 + -5p) = 3p + 1 Reorder the terms: -5 + 2p + -5p = 3p + 1 Combine like terms: 2p + -5p = -3p -5 + -3p = 3p + 1 Reorder the terms: -5 + -3p = 1 + 3p Solving -5 + -3p = 1 + 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. -5 + -3p + -3p = 1 + 3p + -3p Combine like terms: -3p + -3p = -6p -5 + -6p = 1 + 3p + -3p Combine like terms: 3p + -3p = 0 -5 + -6p = 1 + 0 -5 + -6p = 1 Add '5' to each side of the equation. -5 + 5 + -6p = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -6p = 1 + 5 -6p = 1 + 5 Combine like terms: 1 + 5 = 6 -6p = 6 Divide each side by '-6'. p = -1 Simplifying p = -1
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