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Simplifying 14 + -7p + -17 = 7p + 37 + -4p Reorder the terms: 14 + -17 + -7p = 7p + 37 + -4p Combine like terms: 14 + -17 = -3 -3 + -7p = 7p + 37 + -4p Reorder the terms: -3 + -7p = 37 + 7p + -4p Combine like terms: 7p + -4p = 3p -3 + -7p = 37 + 3p Solving -3 + -7p = 37 + 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. -3 + -7p + -3p = 37 + 3p + -3p Combine like terms: -7p + -3p = -10p -3 + -10p = 37 + 3p + -3p Combine like terms: 3p + -3p = 0 -3 + -10p = 37 + 0 -3 + -10p = 37 Add '3' to each side of the equation. -3 + 3 + -10p = 37 + 3 Combine like terms: -3 + 3 = 0 0 + -10p = 37 + 3 -10p = 37 + 3 Combine like terms: 37 + 3 = 40 -10p = 40 Divide each side by '-10'. p = -4 Simplifying p = -4
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