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