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Simplifying -2(8p + 6) + -1(6 + -23p) = 3(6 + 7p) Reorder the terms: -2(6 + 8p) + -1(6 + -23p) = 3(6 + 7p) (6 * -2 + 8p * -2) + -1(6 + -23p) = 3(6 + 7p) (-12 + -16p) + -1(6 + -23p) = 3(6 + 7p) -12 + -16p + (6 * -1 + -23p * -1) = 3(6 + 7p) -12 + -16p + (-6 + 23p) = 3(6 + 7p) Reorder the terms: -12 + -6 + -16p + 23p = 3(6 + 7p) Combine like terms: -12 + -6 = -18 -18 + -16p + 23p = 3(6 + 7p) Combine like terms: -16p + 23p = 7p -18 + 7p = 3(6 + 7p) -18 + 7p = (6 * 3 + 7p * 3) -18 + 7p = (18 + 21p) Solving -18 + 7p = 18 + 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. -18 + 7p + -21p = 18 + 21p + -21p Combine like terms: 7p + -21p = -14p -18 + -14p = 18 + 21p + -21p Combine like terms: 21p + -21p = 0 -18 + -14p = 18 + 0 -18 + -14p = 18 Add '18' to each side of the equation. -18 + 18 + -14p = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -14p = 18 + 18 -14p = 18 + 18 Combine like terms: 18 + 18 = 36 -14p = 36 Divide each side by '-14'. p = -2.571428571 Simplifying p = -2.571428571
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