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Simplifying -4(4p + 4) + -36 = 2(3p + 7) Reorder the terms: -4(4 + 4p) + -36 = 2(3p + 7) (4 * -4 + 4p * -4) + -36 = 2(3p + 7) (-16 + -16p) + -36 = 2(3p + 7) Reorder the terms: -16 + -36 + -16p = 2(3p + 7) Combine like terms: -16 + -36 = -52 -52 + -16p = 2(3p + 7) Reorder the terms: -52 + -16p = 2(7 + 3p) -52 + -16p = (7 * 2 + 3p * 2) -52 + -16p = (14 + 6p) Solving -52 + -16p = 14 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -52 + -16p + -6p = 14 + 6p + -6p Combine like terms: -16p + -6p = -22p -52 + -22p = 14 + 6p + -6p Combine like terms: 6p + -6p = 0 -52 + -22p = 14 + 0 -52 + -22p = 14 Add '52' to each side of the equation. -52 + 52 + -22p = 14 + 52 Combine like terms: -52 + 52 = 0 0 + -22p = 14 + 52 -22p = 14 + 52 Combine like terms: 14 + 52 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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