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Simplifying -4(4p + 3) + -14 = 3(3p + 8) Reorder the terms: -4(3 + 4p) + -14 = 3(3p + 8) (3 * -4 + 4p * -4) + -14 = 3(3p + 8) (-12 + -16p) + -14 = 3(3p + 8) Reorder the terms: -12 + -14 + -16p = 3(3p + 8) Combine like terms: -12 + -14 = -26 -26 + -16p = 3(3p + 8) Reorder the terms: -26 + -16p = 3(8 + 3p) -26 + -16p = (8 * 3 + 3p * 3) -26 + -16p = (24 + 9p) Solving -26 + -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. -26 + -16p + -9p = 24 + 9p + -9p Combine like terms: -16p + -9p = -25p -26 + -25p = 24 + 9p + -9p Combine like terms: 9p + -9p = 0 -26 + -25p = 24 + 0 -26 + -25p = 24 Add '26' to each side of the equation. -26 + 26 + -25p = 24 + 26 Combine like terms: -26 + 26 = 0 0 + -25p = 24 + 26 -25p = 24 + 26 Combine like terms: 24 + 26 = 50 -25p = 50 Divide each side by '-25'. p = -2 Simplifying p = -2
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