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Simplifying 4 + -2(3p + 1) = 6(4 + p) Reorder the terms: 4 + -2(1 + 3p) = 6(4 + p) 4 + (1 * -2 + 3p * -2) = 6(4 + p) 4 + (-2 + -6p) = 6(4 + p) Combine like terms: 4 + -2 = 2 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 = 22 -12p = 22 Divide each side by '-12'. p = -1.833333333 Simplifying p = -1.833333333
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