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Simplifying 5(p + -2) = 4(p + 2) Reorder the terms: 5(-2 + p) = 4(p + 2) (-2 * 5 + p * 5) = 4(p + 2) (-10 + 5p) = 4(p + 2) Reorder the terms: -10 + 5p = 4(2 + p) -10 + 5p = (2 * 4 + p * 4) -10 + 5p = (8 + 4p) Solving -10 + 5p = 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. -10 + 5p + -4p = 8 + 4p + -4p Combine like terms: 5p + -4p = 1p -10 + 1p = 8 + 4p + -4p Combine like terms: 4p + -4p = 0 -10 + 1p = 8 + 0 -10 + 1p = 8 Add '10' to each side of the equation. -10 + 10 + 1p = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 1p = 8 + 10 1p = 8 + 10 Combine like terms: 8 + 10 = 18 1p = 18 Divide each side by '1'. p = 18 Simplifying p = 18
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