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Simplifying -5(2p + 4) + -44 = 2(3p + 8) Reorder the terms: -5(4 + 2p) + -44 = 2(3p + 8) (4 * -5 + 2p * -5) + -44 = 2(3p + 8) (-20 + -10p) + -44 = 2(3p + 8) Reorder the terms: -20 + -44 + -10p = 2(3p + 8) Combine like terms: -20 + -44 = -64 -64 + -10p = 2(3p + 8) Reorder the terms: -64 + -10p = 2(8 + 3p) -64 + -10p = (8 * 2 + 3p * 2) -64 + -10p = (16 + 6p) Solving -64 + -10p = 16 + 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. -64 + -10p + -6p = 16 + 6p + -6p Combine like terms: -10p + -6p = -16p -64 + -16p = 16 + 6p + -6p Combine like terms: 6p + -6p = 0 -64 + -16p = 16 + 0 -64 + -16p = 16 Add '64' to each side of the equation. -64 + 64 + -16p = 16 + 64 Combine like terms: -64 + 64 = 0 0 + -16p = 16 + 64 -16p = 16 + 64 Combine like terms: 16 + 64 = 80 -16p = 80 Divide each side by '-16'. p = -5 Simplifying p = -5
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