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Simplifying 2(4p + -5) + -4(p + -3) = 0 Reorder the terms: 2(-5 + 4p) + -4(p + -3) = 0 (-5 * 2 + 4p * 2) + -4(p + -3) = 0 (-10 + 8p) + -4(p + -3) = 0 Reorder the terms: -10 + 8p + -4(-3 + p) = 0 -10 + 8p + (-3 * -4 + p * -4) = 0 -10 + 8p + (12 + -4p) = 0 Reorder the terms: -10 + 12 + 8p + -4p = 0 Combine like terms: -10 + 12 = 2 2 + 8p + -4p = 0 Combine like terms: 8p + -4p = 4p 2 + 4p = 0 Solving 2 + 4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4p = 0 + -2 4p = 0 + -2 Combine like terms: 0 + -2 = -2 4p = -2 Divide each side by '4'. p = -0.5 Simplifying p = -0.5
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