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Simplifying -1p + -39 = -3(-3p + -7) Reorder the terms: -39 + -1p = -3(-3p + -7) Reorder the terms: -39 + -1p = -3(-7 + -3p) -39 + -1p = (-7 * -3 + -3p * -3) -39 + -1p = (21 + 9p) Solving -39 + -1p = 21 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -39 + -1p + -9p = 21 + 9p + -9p Combine like terms: -1p + -9p = -10p -39 + -10p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -39 + -10p = 21 + 0 -39 + -10p = 21 Add '39' to each side of the equation. -39 + 39 + -10p = 21 + 39 Combine like terms: -39 + 39 = 0 0 + -10p = 21 + 39 -10p = 21 + 39 Combine like terms: 21 + 39 = 60 -10p = 60 Divide each side by '-10'. p = -6 Simplifying p = -6
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