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Simplifying -7(p + 3) = 8p + 39 Reorder the terms: -7(3 + p) = 8p + 39 (3 * -7 + p * -7) = 8p + 39 (-21 + -7p) = 8p + 39 Reorder the terms: -21 + -7p = 39 + 8p Solving -21 + -7p = 39 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -21 + -7p + -8p = 39 + 8p + -8p Combine like terms: -7p + -8p = -15p -21 + -15p = 39 + 8p + -8p Combine like terms: 8p + -8p = 0 -21 + -15p = 39 + 0 -21 + -15p = 39 Add '21' to each side of the equation. -21 + 21 + -15p = 39 + 21 Combine like terms: -21 + 21 = 0 0 + -15p = 39 + 21 -15p = 39 + 21 Combine like terms: 39 + 21 = 60 -15p = 60 Divide each side by '-15'. p = -4 Simplifying p = -4
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