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Simplifying -3(8p + 4) + -2(1 + -23p) = 3(4 + 7p) Reorder the terms: -3(4 + 8p) + -2(1 + -23p) = 3(4 + 7p) (4 * -3 + 8p * -3) + -2(1 + -23p) = 3(4 + 7p) (-12 + -24p) + -2(1 + -23p) = 3(4 + 7p) -12 + -24p + (1 * -2 + -23p * -2) = 3(4 + 7p) -12 + -24p + (-2 + 46p) = 3(4 + 7p) Reorder the terms: -12 + -2 + -24p + 46p = 3(4 + 7p) Combine like terms: -12 + -2 = -14 -14 + -24p + 46p = 3(4 + 7p) Combine like terms: -24p + 46p = 22p -14 + 22p = 3(4 + 7p) -14 + 22p = (4 * 3 + 7p * 3) -14 + 22p = (12 + 21p) Solving -14 + 22p = 12 + 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. -14 + 22p + -21p = 12 + 21p + -21p Combine like terms: 22p + -21p = 1p -14 + 1p = 12 + 21p + -21p Combine like terms: 21p + -21p = 0 -14 + 1p = 12 + 0 -14 + 1p = 12 Add '14' to each side of the equation. -14 + 14 + 1p = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 12 + 14 1p = 12 + 14 Combine like terms: 12 + 14 = 26 1p = 26 Divide each side by '1'. p = 26 Simplifying p = 26
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