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Simplifying -3(8p + 2) + -2(3 + -23p) = 3(9 + 7p) Reorder the terms: -3(2 + 8p) + -2(3 + -23p) = 3(9 + 7p) (2 * -3 + 8p * -3) + -2(3 + -23p) = 3(9 + 7p) (-6 + -24p) + -2(3 + -23p) = 3(9 + 7p) -6 + -24p + (3 * -2 + -23p * -2) = 3(9 + 7p) -6 + -24p + (-6 + 46p) = 3(9 + 7p) Reorder the terms: -6 + -6 + -24p + 46p = 3(9 + 7p) Combine like terms: -6 + -6 = -12 -12 + -24p + 46p = 3(9 + 7p) Combine like terms: -24p + 46p = 22p -12 + 22p = 3(9 + 7p) -12 + 22p = (9 * 3 + 7p * 3) -12 + 22p = (27 + 21p) Solving -12 + 22p = 27 + 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. -12 + 22p + -21p = 27 + 21p + -21p Combine like terms: 22p + -21p = 1p -12 + 1p = 27 + 21p + -21p Combine like terms: 21p + -21p = 0 -12 + 1p = 27 + 0 -12 + 1p = 27 Add '12' to each side of the equation. -12 + 12 + 1p = 27 + 12 Combine like terms: -12 + 12 = 0 0 + 1p = 27 + 12 1p = 27 + 12 Combine like terms: 27 + 12 = 39 1p = 39 Divide each side by '1'. p = 39 Simplifying p = 39
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