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Simplifying 7 + 7(2 + 5p) = 6p + -37 7 + (2 * 7 + 5p * 7) = 6p + -37 7 + (14 + 35p) = 6p + -37 Combine like terms: 7 + 14 = 21 21 + 35p = 6p + -37 Reorder the terms: 21 + 35p = -37 + 6p Solving 21 + 35p = -37 + 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. 21 + 35p + -6p = -37 + 6p + -6p Combine like terms: 35p + -6p = 29p 21 + 29p = -37 + 6p + -6p Combine like terms: 6p + -6p = 0 21 + 29p = -37 + 0 21 + 29p = -37 Add '-21' to each side of the equation. 21 + -21 + 29p = -37 + -21 Combine like terms: 21 + -21 = 0 0 + 29p = -37 + -21 29p = -37 + -21 Combine like terms: -37 + -21 = -58 29p = -58 Divide each side by '29'. p = -2 Simplifying p = -2
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