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Simplifying 5(2 + -1p) = -3(7p + 2) (2 * 5 + -1p * 5) = -3(7p + 2) (10 + -5p) = -3(7p + 2) Reorder the terms: 10 + -5p = -3(2 + 7p) 10 + -5p = (2 * -3 + 7p * -3) 10 + -5p = (-6 + -21p) Solving 10 + -5p = -6 + -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. 10 + -5p + 21p = -6 + -21p + 21p Combine like terms: -5p + 21p = 16p 10 + 16p = -6 + -21p + 21p Combine like terms: -21p + 21p = 0 10 + 16p = -6 + 0 10 + 16p = -6 Add '-10' to each side of the equation. 10 + -10 + 16p = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 16p = -6 + -10 16p = -6 + -10 Combine like terms: -6 + -10 = -16 16p = -16 Divide each side by '16'. p = -1 Simplifying p = -1
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