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Simplifying -2(3p + 1) = 6(4 + p) Reorder the terms: -2(1 + 3p) = 6(4 + p) (1 * -2 + 3p * -2) = 6(4 + p) (-2 + -6p) = 6(4 + p) -2 + -6p = (4 * 6 + p * 6) -2 + -6p = (24 + 6p) Solving -2 + -6p = 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 + -6p + -6p = 24 + 6p + -6p Combine like terms: -6p + -6p = -12p -2 + -12p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 -2 + -12p = 24 + 0 -2 + -12p = 24 Add '2' to each side of the equation. -2 + 2 + -12p = 24 + 2 Combine like terms: -2 + 2 = 0 0 + -12p = 24 + 2 -12p = 24 + 2 Combine like terms: 24 + 2 = 26 -12p = 26 Divide each side by '-12'. p = -2.166666667 Simplifying p = -2.166666667
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