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Simplifying 6(p + 7) = 38 + 7p Reorder the terms: 6(7 + p) = 38 + 7p (7 * 6 + p * 6) = 38 + 7p (42 + 6p) = 38 + 7p Solving 42 + 6p = 38 + 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. 42 + 6p + -7p = 38 + 7p + -7p Combine like terms: 6p + -7p = -1p 42 + -1p = 38 + 7p + -7p Combine like terms: 7p + -7p = 0 42 + -1p = 38 + 0 42 + -1p = 38 Add '-42' to each side of the equation. 42 + -42 + -1p = 38 + -42 Combine like terms: 42 + -42 = 0 0 + -1p = 38 + -42 -1p = 38 + -42 Combine like terms: 38 + -42 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4
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