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Simplifying -3(4p + 2) + -2(4 + -11p) = 3(7 + 3p) Reorder the terms: -3(2 + 4p) + -2(4 + -11p) = 3(7 + 3p) (2 * -3 + 4p * -3) + -2(4 + -11p) = 3(7 + 3p) (-6 + -12p) + -2(4 + -11p) = 3(7 + 3p) -6 + -12p + (4 * -2 + -11p * -2) = 3(7 + 3p) -6 + -12p + (-8 + 22p) = 3(7 + 3p) Reorder the terms: -6 + -8 + -12p + 22p = 3(7 + 3p) Combine like terms: -6 + -8 = -14 -14 + -12p + 22p = 3(7 + 3p) Combine like terms: -12p + 22p = 10p -14 + 10p = 3(7 + 3p) -14 + 10p = (7 * 3 + 3p * 3) -14 + 10p = (21 + 9p) Solving -14 + 10p = 21 + 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. -14 + 10p + -9p = 21 + 9p + -9p Combine like terms: 10p + -9p = 1p -14 + 1p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -14 + 1p = 21 + 0 -14 + 1p = 21 Add '14' to each side of the equation. -14 + 14 + 1p = 21 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 21 + 14 1p = 21 + 14 Combine like terms: 21 + 14 = 35 1p = 35 Divide each side by '1'. p = 35 Simplifying p = 35
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