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Simplifying -5(7p + -2) = 5p + 40 Reorder the terms: -5(-2 + 7p) = 5p + 40 (-2 * -5 + 7p * -5) = 5p + 40 (10 + -35p) = 5p + 40 Reorder the terms: 10 + -35p = 40 + 5p Solving 10 + -35p = 40 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 10 + -35p + -5p = 40 + 5p + -5p Combine like terms: -35p + -5p = -40p 10 + -40p = 40 + 5p + -5p Combine like terms: 5p + -5p = 0 10 + -40p = 40 + 0 10 + -40p = 40 Add '-10' to each side of the equation. 10 + -10 + -40p = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -40p = 40 + -10 -40p = 40 + -10 Combine like terms: 40 + -10 = 30 -40p = 30 Divide each side by '-40'. p = -0.75 Simplifying p = -0.75
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