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Simplifying 84 = 7(-4p + 8) Reorder the terms: 84 = 7(8 + -4p) 84 = (8 * 7 + -4p * 7) 84 = (56 + -28p) Solving 84 = 56 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. 84 + 28p = 56 + -28p + 28p Combine like terms: -28p + 28p = 0 84 + 28p = 56 + 0 84 + 28p = 56 Add '-84' to each side of the equation. 84 + -84 + 28p = 56 + -84 Combine like terms: 84 + -84 = 0 0 + 28p = 56 + -84 28p = 56 + -84 Combine like terms: 56 + -84 = -28 28p = -28 Divide each side by '28'. p = -1 Simplifying p = -1
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