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Simplifying 2 + -8(1 + 5m) = -206 2 + (1 * -8 + 5m * -8) = -206 2 + (-8 + -40m) = -206 Combine like terms: 2 + -8 = -6 -6 + -40m = -206 Solving -6 + -40m = -206 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -40m = -206 + 6 Combine like terms: -6 + 6 = 0 0 + -40m = -206 + 6 -40m = -206 + 6 Combine like terms: -206 + 6 = -200 -40m = -200 Divide each side by '-40'. m = 5 Simplifying m = 5
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