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Simplifying -4(4p + 3) + -39 = 3(3p + 8) Reorder the terms: -4(3 + 4p) + -39 = 3(3p + 8) (3 * -4 + 4p * -4) + -39 = 3(3p + 8) (-12 + -16p) + -39 = 3(3p + 8) Reorder the terms: -12 + -39 + -16p = 3(3p + 8) Combine like terms: -12 + -39 = -51 -51 + -16p = 3(3p + 8) Reorder the terms: -51 + -16p = 3(8 + 3p) -51 + -16p = (8 * 3 + 3p * 3) -51 + -16p = (24 + 9p) Solving -51 + -16p = 24 + 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. -51 + -16p + -9p = 24 + 9p + -9p Combine like terms: -16p + -9p = -25p -51 + -25p = 24 + 9p + -9p Combine like terms: 9p + -9p = 0 -51 + -25p = 24 + 0 -51 + -25p = 24 Add '51' to each side of the equation. -51 + 51 + -25p = 24 + 51 Combine like terms: -51 + 51 = 0 0 + -25p = 24 + 51 -25p = 24 + 51 Combine like terms: 24 + 51 = 75 -25p = 75 Divide each side by '-25'. p = -3 Simplifying p = -3
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