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Simplifying 4p + 36 = 7p + 42 Reorder the terms: 36 + 4p = 7p + 42 Reorder the terms: 36 + 4p = 42 + 7p Solving 36 + 4p = 42 + 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. 36 + 4p + -7p = 42 + 7p + -7p Combine like terms: 4p + -7p = -3p 36 + -3p = 42 + 7p + -7p Combine like terms: 7p + -7p = 0 36 + -3p = 42 + 0 36 + -3p = 42 Add '-36' to each side of the equation. 36 + -36 + -3p = 42 + -36 Combine like terms: 36 + -36 = 0 0 + -3p = 42 + -36 -3p = 42 + -36 Combine like terms: 42 + -36 = 6 -3p = 6 Divide each side by '-3'. p = -2 Simplifying p = -2
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