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Simplifying -5 + 7p = -4(6p + -3) Reorder the terms: -5 + 7p = -4(-3 + 6p) -5 + 7p = (-3 * -4 + 6p * -4) -5 + 7p = (12 + -24p) Solving -5 + 7p = 12 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. -5 + 7p + 24p = 12 + -24p + 24p Combine like terms: 7p + 24p = 31p -5 + 31p = 12 + -24p + 24p Combine like terms: -24p + 24p = 0 -5 + 31p = 12 + 0 -5 + 31p = 12 Add '5' to each side of the equation. -5 + 5 + 31p = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 31p = 12 + 5 31p = 12 + 5 Combine like terms: 12 + 5 = 17 31p = 17 Divide each side by '31'. p = 0.5483870968 Simplifying p = 0.5483870968
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