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Simplifying 4(p + -9) = (3p + 8) Reorder the terms: 4(-9 + p) = (3p + 8) (-9 * 4 + p * 4) = (3p + 8) (-36 + 4p) = (3p + 8) Reorder the terms: -36 + 4p = (8 + 3p) Remove parenthesis around (8 + 3p) -36 + 4p = 8 + 3p Solving -36 + 4p = 8 + 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. -36 + 4p + -3p = 8 + 3p + -3p Combine like terms: 4p + -3p = 1p -36 + 1p = 8 + 3p + -3p Combine like terms: 3p + -3p = 0 -36 + 1p = 8 + 0 -36 + 1p = 8 Add '36' to each side of the equation. -36 + 36 + 1p = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 1p = 8 + 36 1p = 8 + 36 Combine like terms: 8 + 36 = 44 1p = 44 Divide each side by '1'. p = 44 Simplifying p = 44
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