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Simplifying -3(8p + 4) + -2(4 + -23p) = 3(7 + 7p) Reorder the terms: -3(4 + 8p) + -2(4 + -23p) = 3(7 + 7p) (4 * -3 + 8p * -3) + -2(4 + -23p) = 3(7 + 7p) (-12 + -24p) + -2(4 + -23p) = 3(7 + 7p) -12 + -24p + (4 * -2 + -23p * -2) = 3(7 + 7p) -12 + -24p + (-8 + 46p) = 3(7 + 7p) Reorder the terms: -12 + -8 + -24p + 46p = 3(7 + 7p) Combine like terms: -12 + -8 = -20 -20 + -24p + 46p = 3(7 + 7p) Combine like terms: -24p + 46p = 22p -20 + 22p = 3(7 + 7p) -20 + 22p = (7 * 3 + 7p * 3) -20 + 22p = (21 + 21p) Solving -20 + 22p = 21 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. -20 + 22p + -21p = 21 + 21p + -21p Combine like terms: 22p + -21p = 1p -20 + 1p = 21 + 21p + -21p Combine like terms: 21p + -21p = 0 -20 + 1p = 21 + 0 -20 + 1p = 21 Add '20' to each side of the equation. -20 + 20 + 1p = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 21 + 20 1p = 21 + 20 Combine like terms: 21 + 20 = 41 1p = 41 Divide each side by '1'. p = 41 Simplifying p = 41
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