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Simplifying 14 + -2(3p + 1) = 6(4p) Reorder the terms: 14 + -2(1 + 3p) = 6(4p) 14 + (1 * -2 + 3p * -2) = 6(4p) 14 + (-2 + -6p) = 6(4p) Combine like terms: 14 + -2 = 12 12 + -6p = 6(4p) Remove parenthesis around (4p) 12 + -6p = 6 * 4p Multiply 6 * 4 12 + -6p = 24p Solving 12 + -6p = 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 12 + -6p + -24p = 24p + -24p Combine like terms: -6p + -24p = -30p 12 + -30p = 24p + -24p Combine like terms: 24p + -24p = 0 12 + -30p = 0 Add '-12' to each side of the equation. 12 + -12 + -30p = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -30p = 0 + -12 -30p = 0 + -12 Combine like terms: 0 + -12 = -12 -30p = -12 Divide each side by '-30'. p = 0.4 Simplifying p = 0.4
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