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Simplifying 7(p + -1) = 4(p + 2) Reorder the terms: 7(-1 + p) = 4(p + 2) (-1 * 7 + p * 7) = 4(p + 2) (-7 + 7p) = 4(p + 2) Reorder the terms: -7 + 7p = 4(2 + p) -7 + 7p = (2 * 4 + p * 4) -7 + 7p = (8 + 4p) Solving -7 + 7p = 8 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -7 + 7p + -4p = 8 + 4p + -4p Combine like terms: 7p + -4p = 3p -7 + 3p = 8 + 4p + -4p Combine like terms: 4p + -4p = 0 -7 + 3p = 8 + 0 -7 + 3p = 8 Add '7' to each side of the equation. -7 + 7 + 3p = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3p = 8 + 7 3p = 8 + 7 Combine like terms: 8 + 7 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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