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Simplifying -5(1 + 3p) + -4 = -39 + -5p (1 * -5 + 3p * -5) + -4 = -39 + -5p (-5 + -15p) + -4 = -39 + -5p Reorder the terms: -5 + -4 + -15p = -39 + -5p Combine like terms: -5 + -4 = -9 -9 + -15p = -39 + -5p Solving -9 + -15p = -39 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -9 + -15p + 5p = -39 + -5p + 5p Combine like terms: -15p + 5p = -10p -9 + -10p = -39 + -5p + 5p Combine like terms: -5p + 5p = 0 -9 + -10p = -39 + 0 -9 + -10p = -39 Add '9' to each side of the equation. -9 + 9 + -10p = -39 + 9 Combine like terms: -9 + 9 = 0 0 + -10p = -39 + 9 -10p = -39 + 9 Combine like terms: -39 + 9 = -30 -10p = -30 Divide each side by '-10'. p = 3 Simplifying p = 3
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