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Simplifying -15p + -6(5 + -4p) = 4(p + -3) + -43 -15p + (5 * -6 + -4p * -6) = 4(p + -3) + -43 -15p + (-30 + 24p) = 4(p + -3) + -43 Reorder the terms: -30 + -15p + 24p = 4(p + -3) + -43 Combine like terms: -15p + 24p = 9p -30 + 9p = 4(p + -3) + -43 Reorder the terms: -30 + 9p = 4(-3 + p) + -43 -30 + 9p = (-3 * 4 + p * 4) + -43 -30 + 9p = (-12 + 4p) + -43 Reorder the terms: -30 + 9p = -12 + -43 + 4p Combine like terms: -12 + -43 = -55 -30 + 9p = -55 + 4p Solving -30 + 9p = -55 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -30 + 9p + -4p = -55 + 4p + -4p Combine like terms: 9p + -4p = 5p -30 + 5p = -55 + 4p + -4p Combine like terms: 4p + -4p = 0 -30 + 5p = -55 + 0 -30 + 5p = -55 Add '30' to each side of the equation. -30 + 30 + 5p = -55 + 30 Combine like terms: -30 + 30 = 0 0 + 5p = -55 + 30 5p = -55 + 30 Combine like terms: -55 + 30 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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