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Simplifying -3(6p + 4) + -2(6 + -17p) = 3(8 + 5) Reorder the terms: -3(4 + 6p) + -2(6 + -17p) = 3(8 + 5) (4 * -3 + 6p * -3) + -2(6 + -17p) = 3(8 + 5) (-12 + -18p) + -2(6 + -17p) = 3(8 + 5) -12 + -18p + (6 * -2 + -17p * -2) = 3(8 + 5) -12 + -18p + (-12 + 34p) = 3(8 + 5) Reorder the terms: -12 + -12 + -18p + 34p = 3(8 + 5) Combine like terms: -12 + -12 = -24 -24 + -18p + 34p = 3(8 + 5) Combine like terms: -18p + 34p = 16p -24 + 16p = 3(8 + 5) Combine like terms: 8 + 5 = 13 -24 + 16p = 3(13) Multiply 3 * 13 -24 + 16p = 39 Solving -24 + 16p = 39 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 16p = 39 + 24 Combine like terms: -24 + 24 = 0 0 + 16p = 39 + 24 16p = 39 + 24 Combine like terms: 39 + 24 = 63 16p = 63 Divide each side by '16'. p = 3.9375 Simplifying p = 3.9375
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