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Simplifying 14 + -2(3p + p) = 6(4 + p) Combine like terms: 3p + p = 4p 14 + -2(4p) = 6(4 + p) Remove parenthesis around (4p) 14 + -2 * 4p = 6(4 + p) Multiply -2 * 4 14 + -8p = 6(4 + p) 14 + -8p = (4 * 6 + p * 6) 14 + -8p = (24 + 6p) Solving 14 + -8p = 24 + 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. 14 + -8p + -6p = 24 + 6p + -6p Combine like terms: -8p + -6p = -14p 14 + -14p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 14 + -14p = 24 + 0 14 + -14p = 24 Add '-14' to each side of the equation. 14 + -14 + -14p = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -14p = 24 + -14 -14p = 24 + -14 Combine like terms: 24 + -14 = 10 -14p = 10 Divide each side by '-14'. p = -0.7142857143 Simplifying p = -0.7142857143
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