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Simplifying 31 + -7p = 3(p + 7) Reorder the terms: 31 + -7p = 3(7 + p) 31 + -7p = (7 * 3 + p * 3) 31 + -7p = (21 + 3p) Solving 31 + -7p = 21 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 31 + -7p + -3p = 21 + 3p + -3p Combine like terms: -7p + -3p = -10p 31 + -10p = 21 + 3p + -3p Combine like terms: 3p + -3p = 0 31 + -10p = 21 + 0 31 + -10p = 21 Add '-31' to each side of the equation. 31 + -31 + -10p = 21 + -31 Combine like terms: 31 + -31 = 0 0 + -10p = 21 + -31 -10p = 21 + -31 Combine like terms: 21 + -31 = -10 -10p = -10 Divide each side by '-10'. p = 1 Simplifying p = 1
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