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Simplifying 12 = 34 + -2(8p + 3) Reorder the terms: 12 = 34 + -2(3 + 8p) 12 = 34 + (3 * -2 + 8p * -2) 12 = 34 + (-6 + -16p) Combine like terms: 34 + -6 = 28 12 = 28 + -16p Solving 12 = 28 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 12 + 16p = 28 + -16p + 16p Combine like terms: -16p + 16p = 0 12 + 16p = 28 + 0 12 + 16p = 28 Add '-12' to each side of the equation. 12 + -12 + 16p = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 16p = 28 + -12 16p = 28 + -12 Combine like terms: 28 + -12 = 16 16p = 16 Divide each side by '16'. p = 1 Simplifying p = 1
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