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Simplifying 2p + -50 + p = 2(3p + -79) Reorder the terms: -50 + 2p + p = 2(3p + -79) Combine like terms: 2p + p = 3p -50 + 3p = 2(3p + -79) Reorder the terms: -50 + 3p = 2(-79 + 3p) -50 + 3p = (-79 * 2 + 3p * 2) -50 + 3p = (-158 + 6p) Solving -50 + 3p = -158 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -50 + 3p + -6p = -158 + 6p + -6p Combine like terms: 3p + -6p = -3p -50 + -3p = -158 + 6p + -6p Combine like terms: 6p + -6p = 0 -50 + -3p = -158 + 0 -50 + -3p = -158 Add '50' to each side of the equation. -50 + 50 + -3p = -158 + 50 Combine like terms: -50 + 50 = 0 0 + -3p = -158 + 50 -3p = -158 + 50 Combine like terms: -158 + 50 = -108 -3p = -108 Divide each side by '-3'. p = 36 Simplifying p = 36
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