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Simplifying -3(4p + 6) + -2(5 + -11p) = 3(2 + 3p) Reorder the terms: -3(6 + 4p) + -2(5 + -11p) = 3(2 + 3p) (6 * -3 + 4p * -3) + -2(5 + -11p) = 3(2 + 3p) (-18 + -12p) + -2(5 + -11p) = 3(2 + 3p) -18 + -12p + (5 * -2 + -11p * -2) = 3(2 + 3p) -18 + -12p + (-10 + 22p) = 3(2 + 3p) Reorder the terms: -18 + -10 + -12p + 22p = 3(2 + 3p) Combine like terms: -18 + -10 = -28 -28 + -12p + 22p = 3(2 + 3p) Combine like terms: -12p + 22p = 10p -28 + 10p = 3(2 + 3p) -28 + 10p = (2 * 3 + 3p * 3) -28 + 10p = (6 + 9p) Solving -28 + 10p = 6 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -28 + 10p + -9p = 6 + 9p + -9p Combine like terms: 10p + -9p = 1p -28 + 1p = 6 + 9p + -9p Combine like terms: 9p + -9p = 0 -28 + 1p = 6 + 0 -28 + 1p = 6 Add '28' to each side of the equation. -28 + 28 + 1p = 6 + 28 Combine like terms: -28 + 28 = 0 0 + 1p = 6 + 28 1p = 6 + 28 Combine like terms: 6 + 28 = 34 1p = 34 Divide each side by '1'. p = 34 Simplifying p = 34
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