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Simplifying 36 + 7p = 2(5p + 6) Reorder the terms: 36 + 7p = 2(6 + 5p) 36 + 7p = (6 * 2 + 5p * 2) 36 + 7p = (12 + 10p) Solving 36 + 7p = 12 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 36 + 7p + -10p = 12 + 10p + -10p Combine like terms: 7p + -10p = -3p 36 + -3p = 12 + 10p + -10p Combine like terms: 10p + -10p = 0 36 + -3p = 12 + 0 36 + -3p = 12 Add '-36' to each side of the equation. 36 + -36 + -3p = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -3p = 12 + -36 -3p = 12 + -36 Combine like terms: 12 + -36 = -24 -3p = -24 Divide each side by '-3'. p = 8 Simplifying p = 8
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