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Simplifying 3p + 7(p + 6) = 36 + 4p Reorder the terms: 3p + 7(6 + p) = 36 + 4p 3p + (6 * 7 + p * 7) = 36 + 4p 3p + (42 + 7p) = 36 + 4p Reorder the terms: 42 + 3p + 7p = 36 + 4p Combine like terms: 3p + 7p = 10p 42 + 10p = 36 + 4p Solving 42 + 10p = 36 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 42 + 10p + -4p = 36 + 4p + -4p Combine like terms: 10p + -4p = 6p 42 + 6p = 36 + 4p + -4p Combine like terms: 4p + -4p = 0 42 + 6p = 36 + 0 42 + 6p = 36 Add '-42' to each side of the equation. 42 + -42 + 6p = 36 + -42 Combine like terms: 42 + -42 = 0 0 + 6p = 36 + -42 6p = 36 + -42 Combine like terms: 36 + -42 = -6 6p = -6 Divide each side by '6'. p = -1 Simplifying p = -1
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