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Simplifying 14 + -2(3p + 1) * 6 = (4 + p) Reorder the terms: 14 + -2(1 + 3p) * 6 = (4 + p) Reorder the terms for easier multiplication: 14 + -2 * 6(1 + 3p) = (4 + p) Multiply -2 * 6 14 + -12(1 + 3p) = (4 + p) 14 + (1 * -12 + 3p * -12) = (4 + p) 14 + (-12 + -36p) = (4 + p) Combine like terms: 14 + -12 = 2 2 + -36p = (4 + p) Remove parenthesis around (4 + p) 2 + -36p = 4 + p Solving 2 + -36p = 4 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 2 + -36p + -1p = 4 + p + -1p Combine like terms: -36p + -1p = -37p 2 + -37p = 4 + p + -1p Combine like terms: p + -1p = 0 2 + -37p = 4 + 0 2 + -37p = 4 Add '-2' to each side of the equation. 2 + -2 + -37p = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -37p = 4 + -2 -37p = 4 + -2 Combine like terms: 4 + -2 = 2 -37p = 2 Divide each side by '-37'. p = -0.05405405405 Simplifying p = -0.05405405405
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