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Simplifying -3(6p + 6) + -2(6 + -17p) = 3(5 + 5p) Reorder the terms: -3(6 + 6p) + -2(6 + -17p) = 3(5 + 5p) (6 * -3 + 6p * -3) + -2(6 + -17p) = 3(5 + 5p) (-18 + -18p) + -2(6 + -17p) = 3(5 + 5p) -18 + -18p + (6 * -2 + -17p * -2) = 3(5 + 5p) -18 + -18p + (-12 + 34p) = 3(5 + 5p) Reorder the terms: -18 + -12 + -18p + 34p = 3(5 + 5p) Combine like terms: -18 + -12 = -30 -30 + -18p + 34p = 3(5 + 5p) Combine like terms: -18p + 34p = 16p -30 + 16p = 3(5 + 5p) -30 + 16p = (5 * 3 + 5p * 3) -30 + 16p = (15 + 15p) Solving -30 + 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. -30 + 16p + -15p = 15 + 15p + -15p Combine like terms: 16p + -15p = 1p -30 + 1p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -30 + 1p = 15 + 0 -30 + 1p = 15 Add '30' to each side of the equation. -30 + 30 + 1p = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 1p = 15 + 30 1p = 15 + 30 Combine like terms: 15 + 30 = 45 1p = 45 Divide each side by '1'. p = 45 Simplifying p = 45
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