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Simplifying -4(4p + 3) + -28 = 2(3p + 2) Reorder the terms: -4(3 + 4p) + -28 = 2(3p + 2) (3 * -4 + 4p * -4) + -28 = 2(3p + 2) (-12 + -16p) + -28 = 2(3p + 2) Reorder the terms: -12 + -28 + -16p = 2(3p + 2) Combine like terms: -12 + -28 = -40 -40 + -16p = 2(3p + 2) Reorder the terms: -40 + -16p = 2(2 + 3p) -40 + -16p = (2 * 2 + 3p * 2) -40 + -16p = (4 + 6p) Solving -40 + -16p = 4 + 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. -40 + -16p + -6p = 4 + 6p + -6p Combine like terms: -16p + -6p = -22p -40 + -22p = 4 + 6p + -6p Combine like terms: 6p + -6p = 0 -40 + -22p = 4 + 0 -40 + -22p = 4 Add '40' to each side of the equation. -40 + 40 + -22p = 4 + 40 Combine like terms: -40 + 40 = 0 0 + -22p = 4 + 40 -22p = 4 + 40 Combine like terms: 4 + 40 = 44 -22p = 44 Divide each side by '-22'. p = -2 Simplifying p = -2
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