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Simplifying -5(1 + -5p) + 5(-8x + -2) = -4p + -8p (1 * -5 + -5p * -5) + 5(-8x + -2) = -4p + -8p (-5 + 25p) + 5(-8x + -2) = -4p + -8p Reorder the terms: -5 + 25p + 5(-2 + -8x) = -4p + -8p -5 + 25p + (-2 * 5 + -8x * 5) = -4p + -8p -5 + 25p + (-10 + -40x) = -4p + -8p Reorder the terms: -5 + -10 + 25p + -40x = -4p + -8p Combine like terms: -5 + -10 = -15 -15 + 25p + -40x = -4p + -8p Combine like terms: -4p + -8p = -12p -15 + 25p + -40x = -12p Solving -15 + 25p + -40x = -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. -15 + 25p + 12p + -40x = -12p + 12p Combine like terms: 25p + 12p = 37p -15 + 37p + -40x = -12p + 12p Combine like terms: -12p + 12p = 0 -15 + 37p + -40x = 0 Add '15' to each side of the equation. -15 + 37p + 15 + -40x = 0 + 15 Reorder the terms: -15 + 15 + 37p + -40x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 37p + -40x = 0 + 15 37p + -40x = 0 + 15 Combine like terms: 0 + 15 = 15 37p + -40x = 15 Add '40x' to each side of the equation. 37p + -40x + 40x = 15 + 40x Combine like terms: -40x + 40x = 0 37p + 0 = 15 + 40x 37p = 15 + 40x Divide each side by '37'. p = 0.4054054054 + 1.081081081x Simplifying p = 0.4054054054 + 1.081081081x
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