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Simplifying 8p + -1(1 + 5m) = 0 8p + (1 * -1 + 5m * -1) = 0 8p + (-1 + -5m) = 0 Reorder the terms: -1 + -5m + 8p = 0 Solving -1 + -5m + 8p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -5m + 1 + 8p = 0 + 1 Reorder the terms: -1 + 1 + -5m + 8p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5m + 8p = 0 + 1 -5m + 8p = 0 + 1 Combine like terms: 0 + 1 = 1 -5m + 8p = 1 Add '-8p' to each side of the equation. -5m + 8p + -8p = 1 + -8p Combine like terms: 8p + -8p = 0 -5m + 0 = 1 + -8p -5m = 1 + -8p Divide each side by '-5'. m = -0.2 + 1.6p Simplifying m = -0.2 + 1.6p
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