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Simplifying 100 = 5(2p + 8) Reorder the terms: 100 = 5(8 + 2p) 100 = (8 * 5 + 2p * 5) 100 = (40 + 10p) Solving 100 = 40 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 100 + -10p = 40 + 10p + -10p Combine like terms: 10p + -10p = 0 100 + -10p = 40 + 0 100 + -10p = 40 Add '-100' to each side of the equation. 100 + -100 + -10p = 40 + -100 Combine like terms: 100 + -100 = 0 0 + -10p = 40 + -100 -10p = 40 + -100 Combine like terms: 40 + -100 = -60 -10p = -60 Divide each side by '-10'. p = 6 Simplifying p = 6
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