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Simplifying -3(6p + 3) + -2(2 + -17p) = 3(5 + 5p) Reorder the terms: -3(3 + 6p) + -2(2 + -17p) = 3(5 + 5p) (3 * -3 + 6p * -3) + -2(2 + -17p) = 3(5 + 5p) (-9 + -18p) + -2(2 + -17p) = 3(5 + 5p) -9 + -18p + (2 * -2 + -17p * -2) = 3(5 + 5p) -9 + -18p + (-4 + 34p) = 3(5 + 5p) Reorder the terms: -9 + -4 + -18p + 34p = 3(5 + 5p) Combine like terms: -9 + -4 = -13 -13 + -18p + 34p = 3(5 + 5p) Combine like terms: -18p + 34p = 16p -13 + 16p = 3(5 + 5p) -13 + 16p = (5 * 3 + 5p * 3) -13 + 16p = (15 + 15p) Solving -13 + 16p = 15 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -13 + 16p + -15p = 15 + 15p + -15p Combine like terms: 16p + -15p = 1p -13 + 1p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -13 + 1p = 15 + 0 -13 + 1p = 15 Add '13' to each side of the equation. -13 + 13 + 1p = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 1p = 15 + 13 1p = 15 + 13 Combine like terms: 15 + 13 = 28 1p = 28 Divide each side by '1'. p = 28 Simplifying p = 28
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