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Simplifying 84 = 7(p + 6) Reorder the terms: 84 = 7(6 + p) 84 = (6 * 7 + p * 7) 84 = (42 + 7p) Solving 84 = 42 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 84 + -7p = 42 + 7p + -7p Combine like terms: 7p + -7p = 0 84 + -7p = 42 + 0 84 + -7p = 42 Add '-84' to each side of the equation. 84 + -84 + -7p = 42 + -84 Combine like terms: 84 + -84 = 0 0 + -7p = 42 + -84 -7p = 42 + -84 Combine like terms: 42 + -84 = -42 -7p = -42 Divide each side by '-7'. p = 6 Simplifying p = 6
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