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Simplifying -3(5p + 5) + -2(4 + -17p) = 3(7 + 6p) Reorder the terms: -3(5 + 5p) + -2(4 + -17p) = 3(7 + 6p) (5 * -3 + 5p * -3) + -2(4 + -17p) = 3(7 + 6p) (-15 + -15p) + -2(4 + -17p) = 3(7 + 6p) -15 + -15p + (4 * -2 + -17p * -2) = 3(7 + 6p) -15 + -15p + (-8 + 34p) = 3(7 + 6p) Reorder the terms: -15 + -8 + -15p + 34p = 3(7 + 6p) Combine like terms: -15 + -8 = -23 -23 + -15p + 34p = 3(7 + 6p) Combine like terms: -15p + 34p = 19p -23 + 19p = 3(7 + 6p) -23 + 19p = (7 * 3 + 6p * 3) -23 + 19p = (21 + 18p) Solving -23 + 19p = 21 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -23 + 19p + -18p = 21 + 18p + -18p Combine like terms: 19p + -18p = 1p -23 + 1p = 21 + 18p + -18p Combine like terms: 18p + -18p = 0 -23 + 1p = 21 + 0 -23 + 1p = 21 Add '23' to each side of the equation. -23 + 23 + 1p = 21 + 23 Combine like terms: -23 + 23 = 0 0 + 1p = 21 + 23 1p = 21 + 23 Combine like terms: 21 + 23 = 44 1p = 44 Divide each side by '1'. p = 44 Simplifying p = 44
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