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Simplifying -4(4p + 3) + -26 = 2(5p + 7) Reorder the terms: -4(3 + 4p) + -26 = 2(5p + 7) (3 * -4 + 4p * -4) + -26 = 2(5p + 7) (-12 + -16p) + -26 = 2(5p + 7) Reorder the terms: -12 + -26 + -16p = 2(5p + 7) Combine like terms: -12 + -26 = -38 -38 + -16p = 2(5p + 7) Reorder the terms: -38 + -16p = 2(7 + 5p) -38 + -16p = (7 * 2 + 5p * 2) -38 + -16p = (14 + 10p) Solving -38 + -16p = 14 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -38 + -16p + -10p = 14 + 10p + -10p Combine like terms: -16p + -10p = -26p -38 + -26p = 14 + 10p + -10p Combine like terms: 10p + -10p = 0 -38 + -26p = 14 + 0 -38 + -26p = 14 Add '38' to each side of the equation. -38 + 38 + -26p = 14 + 38 Combine like terms: -38 + 38 = 0 0 + -26p = 14 + 38 -26p = 14 + 38 Combine like terms: 14 + 38 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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