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Simplifying 2 + -8(-5p + -5) = -3 + -5p Reorder the terms: 2 + -8(-5 + -5p) = -3 + -5p 2 + (-5 * -8 + -5p * -8) = -3 + -5p 2 + (40 + 40p) = -3 + -5p Combine like terms: 2 + 40 = 42 42 + 40p = -3 + -5p Solving 42 + 40p = -3 + -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. 42 + 40p + 5p = -3 + -5p + 5p Combine like terms: 40p + 5p = 45p 42 + 45p = -3 + -5p + 5p Combine like terms: -5p + 5p = 0 42 + 45p = -3 + 0 42 + 45p = -3 Add '-42' to each side of the equation. 42 + -42 + 45p = -3 + -42 Combine like terms: 42 + -42 = 0 0 + 45p = -3 + -42 45p = -3 + -42 Combine like terms: -3 + -42 = -45 45p = -45 Divide each side by '45'. p = -1 Simplifying p = -1
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