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Simplifying -5(1 + 8p) + -2 = 8p + 35 (1 * -5 + 8p * -5) + -2 = 8p + 35 (-5 + -40p) + -2 = 8p + 35 Reorder the terms: -5 + -2 + -40p = 8p + 35 Combine like terms: -5 + -2 = -7 -7 + -40p = 8p + 35 Reorder the terms: -7 + -40p = 35 + 8p Solving -7 + -40p = 35 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -7 + -40p + -8p = 35 + 8p + -8p Combine like terms: -40p + -8p = -48p -7 + -48p = 35 + 8p + -8p Combine like terms: 8p + -8p = 0 -7 + -48p = 35 + 0 -7 + -48p = 35 Add '7' to each side of the equation. -7 + 7 + -48p = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -48p = 35 + 7 -48p = 35 + 7 Combine like terms: 35 + 7 = 42 -48p = 42 Divide each side by '-48'. p = -0.875 Simplifying p = -0.875
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