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Simplifying 14 + -12(3p + 1) = 6(4 + p) Reorder the terms: 14 + -12(1 + 3p) = 6(4 + p) 14 + (1 * -12 + 3p * -12) = 6(4 + p) 14 + (-12 + -36p) = 6(4 + p) Combine like terms: 14 + -12 = 2 2 + -36p = 6(4 + p) 2 + -36p = (4 * 6 + p * 6) 2 + -36p = (24 + 6p) Solving 2 + -36p = 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. 2 + -36p + -6p = 24 + 6p + -6p Combine like terms: -36p + -6p = -42p 2 + -42p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 2 + -42p = 24 + 0 2 + -42p = 24 Add '-2' to each side of the equation. 2 + -2 + -42p = 24 + -2 Combine like terms: 2 + -2 = 0 0 + -42p = 24 + -2 -42p = 24 + -2 Combine like terms: 24 + -2 = 22 -42p = 22 Divide each side by '-42'. p = -0.5238095238 Simplifying p = -0.5238095238
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