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Simplifying 6(3p + 2) + -6(p + -5) = 2 Reorder the terms: 6(2 + 3p) + -6(p + -5) = 2 (2 * 6 + 3p * 6) + -6(p + -5) = 2 (12 + 18p) + -6(p + -5) = 2 Reorder the terms: 12 + 18p + -6(-5 + p) = 2 12 + 18p + (-5 * -6 + p * -6) = 2 12 + 18p + (30 + -6p) = 2 Reorder the terms: 12 + 30 + 18p + -6p = 2 Combine like terms: 12 + 30 = 42 42 + 18p + -6p = 2 Combine like terms: 18p + -6p = 12p 42 + 12p = 2 Solving 42 + 12p = 2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 12p = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 12p = 2 + -42 12p = 2 + -42 Combine like terms: 2 + -42 = -40 12p = -40 Divide each side by '12'. p = -3.333333333 Simplifying p = -3.333333333
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