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Simplifying 3(5p + -1) + -4(3p + -7) = 4 Reorder the terms: 3(-1 + 5p) + -4(3p + -7) = 4 (-1 * 3 + 5p * 3) + -4(3p + -7) = 4 (-3 + 15p) + -4(3p + -7) = 4 Reorder the terms: -3 + 15p + -4(-7 + 3p) = 4 -3 + 15p + (-7 * -4 + 3p * -4) = 4 -3 + 15p + (28 + -12p) = 4 Reorder the terms: -3 + 28 + 15p + -12p = 4 Combine like terms: -3 + 28 = 25 25 + 15p + -12p = 4 Combine like terms: 15p + -12p = 3p 25 + 3p = 4 Solving 25 + 3p = 4 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3p = 4 + -25 Combine like terms: 25 + -25 = 0 0 + 3p = 4 + -25 3p = 4 + -25 Combine like terms: 4 + -25 = -21 3p = -21 Divide each side by '3'. p = -7 Simplifying p = -7
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