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Simplifying -3(6p + 5) + -2(5 + -17p) + -3(1 + 5p) = 0 Reorder the terms: -3(5 + 6p) + -2(5 + -17p) + -3(1 + 5p) = 0 (5 * -3 + 6p * -3) + -2(5 + -17p) + -3(1 + 5p) = 0 (-15 + -18p) + -2(5 + -17p) + -3(1 + 5p) = 0 -15 + -18p + (5 * -2 + -17p * -2) + -3(1 + 5p) = 0 -15 + -18p + (-10 + 34p) + -3(1 + 5p) = 0 -15 + -18p + -10 + 34p + (1 * -3 + 5p * -3) = 0 -15 + -18p + -10 + 34p + (-3 + -15p) = 0 Reorder the terms: -15 + -10 + -3 + -18p + 34p + -15p = 0 Combine like terms: -15 + -10 = -25 -25 + -3 + -18p + 34p + -15p = 0 Combine like terms: -25 + -3 = -28 -28 + -18p + 34p + -15p = 0 Combine like terms: -18p + 34p = 16p -28 + 16p + -15p = 0 Combine like terms: 16p + -15p = 1p -28 + 1p = 0 Solving -28 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1p = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 1p = 0 + 28 1p = 0 + 28 Combine like terms: 0 + 28 = 28 1p = 28 Divide each side by '1'. p = 28 Simplifying p = 28
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