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Simplifying 7p + 28 = 6(6 + p) + -2 Reorder the terms: 28 + 7p = 6(6 + p) + -2 28 + 7p = (6 * 6 + p * 6) + -2 28 + 7p = (36 + 6p) + -2 Reorder the terms: 28 + 7p = 36 + -2 + 6p Combine like terms: 36 + -2 = 34 28 + 7p = 34 + 6p Solving 28 + 7p = 34 + 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. 28 + 7p + -6p = 34 + 6p + -6p Combine like terms: 7p + -6p = 1p 28 + 1p = 34 + 6p + -6p Combine like terms: 6p + -6p = 0 28 + 1p = 34 + 0 28 + 1p = 34 Add '-28' to each side of the equation. 28 + -28 + 1p = 34 + -28 Combine like terms: 28 + -28 = 0 0 + 1p = 34 + -28 1p = 34 + -28 Combine like terms: 34 + -28 = 6 1p = 6 Divide each side by '1'. p = 6 Simplifying p = 6
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