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Simplifying -3(7p + 3) + -2(5 + -17p) = 3(7p + 4p) Reorder the terms: -3(3 + 7p) + -2(5 + -17p) = 3(7p + 4p) (3 * -3 + 7p * -3) + -2(5 + -17p) = 3(7p + 4p) (-9 + -21p) + -2(5 + -17p) = 3(7p + 4p) -9 + -21p + (5 * -2 + -17p * -2) = 3(7p + 4p) -9 + -21p + (-10 + 34p) = 3(7p + 4p) Reorder the terms: -9 + -10 + -21p + 34p = 3(7p + 4p) Combine like terms: -9 + -10 = -19 -19 + -21p + 34p = 3(7p + 4p) Combine like terms: -21p + 34p = 13p -19 + 13p = 3(7p + 4p) Combine like terms: 7p + 4p = 11p -19 + 13p = 3(11p) Remove parenthesis around (11p) -19 + 13p = 3 * 11p Multiply 3 * 11 -19 + 13p = 33p Solving -19 + 13p = 33p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-33p' to each side of the equation. -19 + 13p + -33p = 33p + -33p Combine like terms: 13p + -33p = -20p -19 + -20p = 33p + -33p Combine like terms: 33p + -33p = 0 -19 + -20p = 0 Add '19' to each side of the equation. -19 + 19 + -20p = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -20p = 0 + 19 -20p = 0 + 19 Combine like terms: 0 + 19 = 19 -20p = 19 Divide each side by '-20'. p = -0.95 Simplifying p = -0.95
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