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Simplifying 14 + -2(3p + 1) = (28 + 6p) Reorder the terms: 14 + -2(1 + 3p) = (28 + 6p) 14 + (1 * -2 + 3p * -2) = (28 + 6p) 14 + (-2 + -6p) = (28 + 6p) Combine like terms: 14 + -2 = 12 12 + -6p = (28 + 6p) Remove parenthesis around (28 + 6p) 12 + -6p = 28 + 6p Solving 12 + -6p = 28 + 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. 12 + -6p + -6p = 28 + 6p + -6p Combine like terms: -6p + -6p = -12p 12 + -12p = 28 + 6p + -6p Combine like terms: 6p + -6p = 0 12 + -12p = 28 + 0 12 + -12p = 28 Add '-12' to each side of the equation. 12 + -12 + -12p = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -12p = 28 + -12 -12p = 28 + -12 Combine like terms: 28 + -12 = 16 -12p = 16 Divide each side by '-12'. p = -1.333333333 Simplifying p = -1.333333333
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