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Simplifying 100 = 5(p + 6) Reorder the terms: 100 = 5(6 + p) 100 = (6 * 5 + p * 5) 100 = (30 + 5p) Solving 100 = 30 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 100 + -5p = 30 + 5p + -5p Combine like terms: 5p + -5p = 0 100 + -5p = 30 + 0 100 + -5p = 30 Add '-100' to each side of the equation. 100 + -100 + -5p = 30 + -100 Combine like terms: 100 + -100 = 0 0 + -5p = 30 + -100 -5p = 30 + -100 Combine like terms: 30 + -100 = -70 -5p = -70 Divide each side by '-5'. p = 14 Simplifying p = 14
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