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Simplifying 7p + 7 = 6(p + 5) Reorder the terms: 7 + 7p = 6(p + 5) Reorder the terms: 7 + 7p = 6(5 + p) 7 + 7p = (5 * 6 + p * 6) 7 + 7p = (30 + 6p) Solving 7 + 7p = 30 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 7 + 7p + -6p = 30 + 6p + -6p Combine like terms: 7p + -6p = 1p 7 + 1p = 30 + 6p + -6p Combine like terms: 6p + -6p = 0 7 + 1p = 30 + 0 7 + 1p = 30 Add '-7' to each side of the equation. 7 + -7 + 1p = 30 + -7 Combine like terms: 7 + -7 = 0 0 + 1p = 30 + -7 1p = 30 + -7 Combine like terms: 30 + -7 = 23 1p = 23 Divide each side by '1'. p = 23 Simplifying p = 23
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