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Simplifying 8p + -39 = 7(p + -6) Reorder the terms: -39 + 8p = 7(p + -6) Reorder the terms: -39 + 8p = 7(-6 + p) -39 + 8p = (-6 * 7 + p * 7) -39 + 8p = (-42 + 7p) Solving -39 + 8p = -42 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -39 + 8p + -7p = -42 + 7p + -7p Combine like terms: 8p + -7p = 1p -39 + 1p = -42 + 7p + -7p Combine like terms: 7p + -7p = 0 -39 + 1p = -42 + 0 -39 + 1p = -42 Add '39' to each side of the equation. -39 + 39 + 1p = -42 + 39 Combine like terms: -39 + 39 = 0 0 + 1p = -42 + 39 1p = -42 + 39 Combine like terms: -42 + 39 = -3 1p = -3 Divide each side by '1'. p = -3 Simplifying p = -3
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